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Geometry
Foundations
Module 1
- Meet the shapes
- Introduce 2D shapes: triangle, square, rectangle, circle, and oval
- List some attributes: number of sides and corners, if a shape is round, etc.
- Trace shapes
- Match shape to name
- Identify circles and squares within an assortment of shapes
- Identify triangles, ovals, circles, squares, and rectangles within a given image of a simple train
- Bible: Psalm 139:14
- I praise you for I am fearfully and wonderfully made
- Every detail in creation, even the shapes we see all around us, reminds us how amazing our Creator is
Module 2
- Sort shapes
- Find commonalities in a group
- Shape, size, color sorting
- Find differences in a group
- Practice identifying what does and doesn't belong in a group
- Practice sorting something at home (clothes, toys, etc.)
- Bible: Romans 8:28
- God can sort out any mess and use it for good
- Recognizing what the sorting groups are (shape, size, or color)
- Matching shapes to their written names
- Bible: 2 Peter 3:9
Module 3
- Shapes in real life
- Identify the shapes in our environments (rectangle door, circle clock, etc.)
- Shape scavenger hunt
- Find the shape in the image
- Bible: John 3:16
- Jesus died on the cross for our sins
- Identify the shape that doesn't belong
- Match the object to its written shape name
- Identify a shape by its description
- Draw a real-life object that is a rectangle
Module 4
- Spheres vs. cubes
- Flat shapes (square/circle) and 3D shapes (sphere/cube)
- Characteristics of square/circle vs. sphere/cube
- Examples of cube and sphere objects
- Trace the names cube and sphere
- Match the image to the name in words
- Identify the spheres in a group
- Identify which are not cubes in a group
- Cube scavenger hunt
- Bible: Genesis 1:1
- God made everything from nothing; He created shapes just the way He wanted them
- Sorting cubes and spheres into groups
Module 5
- Cones vs. cylinders
- Examples of everyday items that are cones and cylinders
- Trace the names of the shapes
- Identify the parts, shape of cones and cylinders
- Match the shapes to their written name
- Bible: 2 Corinthians 4:7
- God made us like jars to hold the Holy Spirit
- Identify the cylinder in the group
- Identify which shapes are not cones
- Cone and cylinder scavenger hunt
Module 6
- Compare shapes
- Identify the same and different aspects of shapes
- Ways to compare shapes: size, number of sides, curvature, etc.
- Color the matching shape in a row
- Identify a shape that doesn't belong
- Bible: 1 Samuel 16:7
- God sees every part of us, even the inside
- Match similar shapes
- Explain what two given shapes have in common
Module 7
- Shape patterns
- Continue a given pattern with two or three shapes
- Identify if there is a pattern
- Continue a pattern of two colors
- Create a repeating pattern with two shapes
- Bible: Genesis 1:31
- God created nature with special designs and patterns
- Create a repeating pattern with objects in your house
Module 8
- Make squares from triangles
- Turn a square into two triangles with a diagonal line or four triangles with two crisscrossing lines
- Match triangles to make squares
- Bible: 2 Corinthians 5:17
- Jesus makes us a new creation
Module 9
- Twisty shapes
- A shape is still the same no matter which way you turn it
- Four question clues to ask to determine what shape it is:
- * How many sides are there?
- * Are the sides straight or curved?
- * Are the sides the same length?
- * Does the shape look stretched?
- Practice identifying shapes by asking the questions
- Identify like shapes that are twisted
- Bible: Hebrews 13:8
- God never changes; you can trust Him to keep His promises
- Create a picture made up of different twisted shapes
Module 10
- Simple symmetry
- Something is symmetrical if you can draw a line down the middle and both sides are the same
- Match each half shape to its other half
- Identify asymmetrical shapes
- Bible: Ephesians 5:1
- Imitate God by copying His character (kindness, love, patience, etc.)
- Complete a shape by drawing its symmetrical match
Step 1
Module 1
- 2D shapes
- Identify and describe triangles, circles, squares, rectangles, ovals, and hexagons
- Differentiate 2D shapes from the upcoming 3D lesson; describe images as flat
- Trace 2D shapes
- Given a variety of shapes, identify and color the round shapes
- Match the shapes to the number of sides
- Explore attributes of a hexagon
- Bible: 1 Corinthians 3:11
- Laying a firm foundation
- 3D shapes help build a strong foundation
Module 2
- 3D shapes
- Define 3D using real-life objects as examples (cube, sphere, cylinder, cone, pyramid)
- Trace the names of the shape
- Determine which shape does not belong in a set
- Identify spheres within a group of 3D shapes
- Determine shape of a real-life object
- Given a 3D shape, determine if there are curves
- Using an image of a block tower, match the name to each shape
- Bible: Colossians 3:2
- Pyramids and cones point upwards, reminding us to look to God in all things
Module 3
- Attributes of shapes
- List attributes of 3D shapes and show real-life images that match (cube, sphere, cylinder, cone, pyramid)
- Count the faces of a given shape
- Trace the number of sides and corners of a cube, sphere, and pyramid
- Match shape to attributes
- Choose an object that is described based on attributes
- Identify the object with the most sides
- Determine which object does not belong in the set
- Bible: Matthew 7:16
- Christians are called to have attributes know as "fruit"
Module 4
- Open and closed shapes
- Define opened and closed shapes
- Define polygon as a special type of closed shape
- Identify shapes as either open or closed
- Sort shapes as either open or closed
- Turn open shapes into closed ones
- Bible: Colossians 2:10
- Open shapes are missing something to make them complete; we are like that without Jesus
Module 5
- Breaking shapes apart
- Cutting shapes can create new, smaller shapes
- Visualize squares broken into 2 triangles, then 2 rectangles, and a hexagon broken into two trapezoids
- Given a shape, determine new shapes that can be formed
- Given the pieces, determine the original shape
- Trace lines on shapes to create new, smaller shapes
- When given a shape that is split, name the new parts created
- Split shapes into the given criteria
- Answer yes or no questions about decomposing shapes
- Bible: 2 Corinthians 5:17
- Just like decomposing shapes can create something new, anyone in Christ is a new creation
Module 6
- Symmetrical lines
- Symmetry means they split into two matching parts
- Visualize symmetrical and not symmetrical
- Create examples of symmetry and non-symmetry
- Distinguish which are symmetrical shapes out of a group
- Match symmetrical sides
- Determine which letters given are symmetrical
- Draw the other half of the shape to show symmetry
- Given objects, determine if the lines drawn are symmetrical or not
- Bible Break: Genesis 1:27
- God created man in His own image; similar to symmetry, we are a reflection of God's image
Module 7
- Equal and unequal parts in shapes
- There is more than one way to split shapes
- Equal parts means both sides are the same size
- In unequal parts, the sizes of the parts do not match
- Determine if the given shapes are split equally or unequally
- Given a group of shapes, cross out shapes that are split unequally
- Given a group of shapes, circle the shapes that are split equally
- Discuss how to tell if a shape is split evenly
- Draw lines to cut shapes unequally
- Draw lines to split shapes into 4 equal parts
- Bible: John 15:12
- We are called to love one another and treat everyone equally
Module 8
- Making shapes
- Visualize combining shapes to create a new shape
- Examples given: two triangles can form a rectangle, two triangles form a square, two squares form a rectangle, 3 triangles can form a trapezoid
- Determine which shapes can be combined to form a given shape
- Determine what new shape is formed when given parts
- Match description to visual
- Determine whether a given statement is true or false
- Bible: Hebrews 3:4
- Every house is built by someone; God is the builder of all things
- God puts all of the pieces of Creation together
Module 9
- Shape variations
- Even when a shape turns and twists, the attributes stay the same
- When a shape grows or shrinks, the attributes stay the same
- Some shapes can be stretched (in one direction) and still have the same attributes
- When circles and squares are stretched, they change shape
- Review examples of shapes, rotating, and stretching
- Match like shapes
- Given a group of shapes, identify the triangles
- Given stretched or turned hexagons, trace and count the sides
- Determine which items do not belong in a group based on attributes
- Answer yes or no questions
- Draw different types of rectangles
Module 10
- Grid pathways
- Introduce tiles in real life: tic-tac-toe board, tiles on the floor, etc.
- Define grid, rows, and columns
- Position words help us describe where something is located
- Use a 2x2 grid to determine what object is next to and under a given object
- Match a pair of shapes to the position words that describe their location to each other
- Draw shapes under a given shape on a grid (2x2 and 3x3)
- Choose the grid that matches a given description
- Answer true or false statements about items located on a 3x3 grid
- Bible: Pslam 139:2
- God always knows exactly where we are because He is always with us
Step 2
Module 1
- 2D shapes
- Define 2D shapes and polygons
- Categorize 2D shapes as either polygons or not based on attributes
- Define corners as vertices (or vertex)
- Shapes and their attributes: circle, oval, trapezoid, triangle, pentagon, hexagon, octagon, rectangle, square
- Label real-world objects by their shape
- identify the number of vertices in a given shape
- Trace and count the sides of a pentagon, a hexagon, and an octagon
- Sort shapes into groups (polygon or not a polygon)
- Identify shapes within a group that have 4 sides
- Scavenger hunt around the house; look for shapes with given attributes
- Bible: Psalm 46:10
- A stop sign is shaped like an octagon, reminding us to pause
Module 2
- 3D shapes
- Define 3D shapes and compare to 2D shapes
- Given examples and images of a cube, a rectangular prism, a sphere, a cylinder, a cone, and a pyramid
- Identify which object does not belong based on attributes
- When given a shape name, identify which real-life object is shaped
- Label shapes
- Circle cylinder out of given real-world objects
- Identify shapes that have curved edges
- Answer yes or no questions about 3D shapes
- Bible: Matthew 28:1–6
- Hebrews 9:28
- Round shapes remind us of the stone that sealed Jesus' tomb
Module 3
- Attributes of 3D shapes
- Define face, edge, and vertex (vertices)
- List attributes of cubes, rectangular prisms, cones, cylinders, spheres, and pyramids
- Label face, edge, and vertex on shapes
- Match an image of a 3D shape to the number of edges it has
- Identify the shapes that have edges and which do not
- Identify the number of faces a shape has
- Circle the real-life object that is being described by a list of attributes
- Use attributes in conversation to describe shapes
- Bible: Romans 12:6
- A square block and a round ball have different shapes, but are both important
- God made each of us different and we are all still important
Module 4
- Parallel and perpendicular lines
- Give the definition and examples of intersecting lines, perpendicular lines, and parallel lines
- Label given lines as either parallel, perpendicular, or intersecting
- Match the word (parallel, perpendicular, intersecting) to its definition.
- Circle the real-world item that shows parallel lines
- Circle the real-world item that shows perpendicular lines
- Draw examples of each line type
- Bible: Romans 12:18, Romans 12:21
- Like parallel lines, we can live peacefully alongside others
Module 5
- Lines of symmetry
- Define symmetry and show examples
- Note that some shapes have more than one line of symmetry
- Identify which shapes show a line of symmetry and which do not
- Draw a symmetry line on shapes
- Draw the other side of a given shape
- Identify the number of lines of symmetry shapes have
- Trace the lines of symmetry on a hexagon to identify the number of possibilities (6)
- Draw all lines of symmetry on the given shapes
- Bible: Colossians 3:23
- Just like shapes can have more than one part, we also have more than one way to serve the Lord
Module 6
- Breaking shapes up
- Define whole, halves, thirds, and fourths, using a chocolate bar to visualize concepts
- Determine examples and nonexamples of fractional pieces
- Match word (halves, fourths, and thirds) to the number of pieces it represents
- Label shapes based on how they have been divided: equally or unequally
- Determine how a shape has been divided (halves, fourths, and thirds)
- Draw lines on shape to show halves, fourths, and thirds
- Bible: Matthew 14:19
- Jesus used a small amount of food (bread and fish) to bless many people
Module 7
- Congruent shapes
- Congruent means the same size and the same shape
- Shapes can be twisted in different directions and still be congruent
- Examples of congruent and not congruent given
- Identify a shape that is congruent with a given shape
- Select phrases that determine how shapes are congruent
- Identify pairs of shapes that are congruent by selecting yes or no
- Color shapes that are congruent with a given shape
- Draw congruent shapes
- Bible: Ephesians 5:1–2
- We should be imitators of Christ
Module 8
- Regular vs. irregular shapes
- Define regular shapes and list examples and nonexamples
- Identify quadrilaterals
- Count the sides of irregular shapes to determine the name
- Identify if a shape is regular or irregular
- Determine if a statement is true or false
- Match regular or irregular shapes to their representations
- Draw examples of irregular shapes
- Bible: 2 Corinthians 5:21
- We are imperfect like irregular shapes, but Jesus lived a sinless life and died for our sins
Module 9
- Area of shapes
- Define area
- Use grid lines to determine the area by counting the squares inside
- Match area to its given shape
- Identify shape that covers the most area
- Solve for the area of rectangles and composite figures
- Bible: Psalm 147:4
- God knows every detail of creation, even the number of stars in the sky
Module 10
- Connection between 2D and 3D shapes
- Define nets and give examples of 3D representations "unfolded"
- Connect parts of net to faces on a 3D shape
- Identify attributes of 3D shapes from a given net
- Determine shape of a net when "folded" back to a 3D shape
- Connect image of shape to its net
- Bible: James 1:22
- Our faith is not meant to stay flat like a net; we must be doers of the word not just hearers
Step 3
Module 1
- Quidrilaterals
- Define quadrilateral: has shape with 4 sides and 4 angles
- List attributes of parallelograms, trapezoids, rhombuses, rectangles, and squares
- Note that some quadrilaterals have more than one name based on their attributes
- Identify quadrilaterals out of a group of shapes
- Determine the name of given quadrilaterals
- When given the name of a shape, determine if the shape is a quadrilateral or not
- Complete fill-in-the-blank problems about a quadrilateral's attributes
- Draw attributes
- Bible: Colossians 1:16
- Shapes can remind us of God's glory; all things were created in heaven by Him
Module 2
- Angles
- Define and represent the 3 types of angles: right, obtuse, and acute
- Label examples of each angle type
- Identify right angles in a group of different angles
- Complete fill-in-the-blank questions about the types of angles
- Eliminate the angle that does not belong based on attributes
- Match degree measures to the type of angle
- Highlight angle types in given shapes
- BIble: Romans 15:7
- Obtuse angles look like outspread arms, a very open gesture that can remind us to welcome others as Christ welcomed us
Module 3
- Identify right angles
- Define right angles and give examples of how they can be seen in everyday objects
- Identify right angles in objects and shapes
- Cross out shapes that do not contain right angles
- Bible: Luke 12:27
- Jesus encourages us to look for God's creativity and order in nature
Module 4
- What are polygons?
- Define polygons as a closed object made from only straight lines
- Represent examples of shapes that are polygons and not polygons
- Determine if shapes are polygons or not
- Identify statements that are true about polygons
- Sort shapes into groups; polygons or not
- Eliminate shapes that are not polygons
- Draw polygons with given attributes
- Bible: We are God's handiwork, and He created each of us to be unique
Module 5
- Perimeter of polygons
- Perimeter is the total distance around a shape and can be found by adding up all of the sides
- Identify and label missing side lengths by looking at the opposite side
- Regular shapes have all equal side lengths
- Trace the perimeter of shapes
- Solve the perimeter of shapes by filling in the blanks and creating equations
- Bible: God's commandments are like a perimeter or fence that are given to us as a guide and to protect us
Module 6
- Classifying triangles by side lengths
- When triangles are sorted by side length, they can go into 1 of 3 categories: equilateral, isosceles, and scalene
- Define and give examples of each type of triangle
- Equilateral: all equal sides
- Isosceles: 2 equal sides
- Scalene: no equal sides
- When given side measurements, determine the type of triangle
- Draw an example of each type of triangle
- Eliminate the triangle that does not belong in a group based on its side measurements
- Identify the name of the given triangle
- Bible: James 1:5
- As we make choices in life, the Lord will give us wisdom
Module 7
- Classifying triangles by angles
- Define and show examples of each type of triangle
- Right angles have one 90-degree angle
- Acute angles have all angles that are smaller than 90 degrees
- Obtuse angles have one angle that is above 90 degrees and 2 acute angles
- Circle the largest angle in a given triangle
- Answer true or false questions about sorting triangles by angles
- Match angle measurements to the type of triangle, then to the representation
- Label triangles based on attributes
- Classify triangles by side and by angles
- Bible: Isaiah 5:20
- Just like we compare angles to right angles to determine if they are acute or obtuse, we can compare things in our lives to God's word to determine if they are true and right
Module 8
- Lines of symmetry in polygons
- Define lines of symmetry
- Show examples of shapes that are symmetrical and not symmetrical
- Show examples of shapes with no possible lines of symmetry
- Show examples of shapes that have more than one line of symmetry
- Determine if shapes are split by their line of symmetry
- Identify shapes that have no line of symmetry
- Draw symmetry lines on the given shapes
- Count and draw the lines of symmetry of shapes
- Bible: 2 Corinthians 5:17
- In Christ we are a new creation and do not have to live life like a broken or "off" shape that is not symmetrical
Module 9
- Make it
- Review of shape attributes: angles, triangles, polygons, quadrilaterals, and symmetry
- Add lines connecting the vertices to create shapes
- Draw shapes given attributes as clues
- Identify shapes with obtuse angles
- Name shapes with 6 sides
- Build shapes with sticks or pencils as the sides
- Bible: Matthew 7:16
- Attributes are how we recognize and identify shapes, Christians can be identified by their fruits
Module 10
- Shapes in real life
- Discover shapes within a scene and within a singular object
- Identify right angles in various images
- Identify acute angles within multiple images
- Identify triangles within various images
- Match the shape name to the corresponding real-life object
- Determine the shapes within a given image
- Identify and label line types within an image (intersecting, parallel, and perpendicular)
- Bible: Romans 11:36
- Noticing the details around us and how neat and organized everything is shows us that this world is not random and points to God's design
Step 4
Module 1
- Angles and lines
- Define angle, acute, right, and obtuse with visual representations
- Describe parallel, perpendicular, and intersecting lines
- Label the types of angles shown
- Identify perpendicular lines
- Draw an example of parallel lines
- Match the angle measures to their angle type (acute, obtuse, or right)
- Answer yes or no questions involving angle types
- Draw examples of each type of angle
- Bible: Luke 9:23
- Like two intersecting lines meet at a point, Jesus meets us at the cross
Module 2
- Measuring angles
- Identify parts on a protractor and how to measure angles properly
- Review obtuse and acute so reading the numbers on a protractor makes more sense contextually
- Identify the type of angles shown with and without a protractor
- Out of two options, determine which measurement would be most appropriate given the type of angle shown or the situation given
- Read angle measurements accurately on given protractor
- Measure angles with a protractor
- Bible: Proverbs 30:5
- Like protractors help us get exact measurements, the Bible gives us a correct way to live
Module 3
- Drawing angles
- List steps to drawing precise angles with a protractor
- Practice making straight lines between two dots with the straight edge of the protractor
- Complete the baseline on angles that were started when given the type of angle
- Create and complete angles from given measurements
- Bible: Exodus 35:35
- A protractor is a math tool; God gives us tools and skills to do amazing things in life, too
Module 4
- Perimeter
- Define perimeter as the total distance around a shape
- There are 2 main ways to solve for perimeter: by using addition or multiplication
- Composite shapes may have missing sides, but looking at the opposite lines can help to identify what is missing
- Label missing side lengths of given shapes
- Use addition and multiplication to solve for the perimeter of given shapes
- Find the missing side lengths of the given composite figures
- Use addition and multiplication to solve for the perimeter of word problems involving perimeter
- Bible: Joshua 6:20
- God equips people in different ways, like the Israelites walking the perimeter of a city to carry out God's plan
Module 5
- Area of rectangles
- Define area as the number of perfect squares that can fit in the space of a shape
- Note that to solve you can count the number of squares or multiply length by width
- Area = length times width, and the units in area are always squared
- Solve for the area of rectangles by completing the formula
- Match the measurements to the correct equation, then to the correct solution
- Determine which of the given shapes has an area of 36 square units
- Complete word problems involving area
- Bible: 1 Corinthians 3:11
- When building a home, if the foundation isn't strong, the house will not stand, so Jesus Christ should be the foundation for our lives
Module 6
- Classifying quadrilaterals
- Define quadrilaterals and each subgroup inside the quadrilateral family: trapezoid, parallelogram, rhombus, rectangle, square
- Determine the number of parallel lines in given shapes
- Look at a shape to determine which statements are true
- Complete fill-in-the-blank problems involving quadrilateral attributes
- Draw shapes when given attributes
- Identify all the classifications of a given shape
- Bible: Genesis 2:19
- God gave Adam a job that involved classifying and naming the animals
Module 7
- Area of a triangle
- Area is the space a triangle covers
- A triangle is half of a rectangle, so formula is similar to the area of a rectangle (A = b x h divided by 2)
- The height of a triangle is always perpendicular to the base; it is not a slanted line.
- Highlight the base and the height of the triangles
- Solve for the area of triangles given images, measurements, and word problems
- Bible: Psalm 145:3
- Unlike a shape that only has a certain limited area, God's greatness has no limit
Module 8
- Parts of a circle
- Describe 4 parts of circles (center, radius, diameter, and circumference) and given representations of each
- Label parts of a circle
- Match the circle part to its description
- Highlight the radius on circles
- Answer true and false questions about circle parts
- Identify the highlighted parts of a given circle
- Use radius and diameter to determine the measurement that is missing
- Bible: Psalm 145:18
- God is like the center of a circle; He is not closer to some people than others; He is able to be near to everyone at the same time
Module 9
- Volume of rectangular prisms
- Define volume and relate it to area
- Represent cubes made from square units
- Review the steps to solving for volume
- Fill in the blanks to solve for volume
- Select figure that matches the description given about length, width, and height
- Complete volume equations and determine the solution
- Calculate the volume of cubes and rectangular prisms given models, measurements, or word problems
- Bible: John 16:20
- God layers joy, hope, and love in our lives
Module 10
- Nets of 3D solids
- Define nets and show examples of rectangular prism, pyramid, cone, cylinder, and cube
- Discover that a net can be arranged differently and still make a 3D figure when folded
- Identify nets with 5 faces
- Match the description of the net to the 3D figure it represents
- Given the net, determine what 3D shape it will turn into
- Answer true or false questions about nets
- Cross out nets that could not form a given 3D shape
- When given length, width, and height on a net, determine the volume of the 3D figure
- Bible: Hebrews 4:13
- If we look at a 3D object from one view, we miss the whole picture, but God sees all things
Step 5
Module 1
- Perimeter and area
- Define area as the space inside a 2D shape and perimeter as the distance around the shape
- Give the formula and examples of worked problems for the area and perimeter of a rectangle, parallelogram, and triangle
- Match the formula to its description
- Solve for the perimeter and area when given a representation of shapes with their measurements
- Determine if statements regarding perimeter and area are true or false
- Determine which shape would be the best answer for a given situation
- Bible: Psalm 3:3
- God's protection wraps around us like the perimeter of a shape
Module 2
- Area of composite shapes
- Define composite shapes as shapes that are made up of two or more simple figures
- Breaking apart composite shapes into smaller parts helps us solve for the area
- Solve for the area of composite shapes by using addition
- Solve for the area of composite shapes by using subtraction
- Represent the decomposition of a shape by drawing lines
- Solve work problems involving area of composite shapes
- Find missing line lengths
- Bible: Job 38:4-5
- God laid the foundation of the Earth; He determined the measurements God created every detail
Module 3
- Area of trapezoids
- Define trapezoids and bases
- Note bases have to be averaged (how/why the formula works)
- Fill in parts of the formula for area
- Describe the mistakes made when plugging information into the problem
- Solve word problems involving the area of a trapezoid
- Label bases and height on an image
- Bible: John 17:17
- The scriptures are like a formula for our lives
Module 4
- Working with a protractor
- Identify parts of the protractor and their uses
- How to use a protractor to measure angles
- Define the center point and baseline as related to the protractor
- Note that knowing if an angle is obtuse or acute is vital for determining the angle's measurement
- Name given angle (straight, right, obtuse, or acute)
- Identify angle measurements when given lines on a protractor
- Draw lines (part of the angle) on a protractor
- Use your own protractor to measure angles on paper
- Protractors measure things carefully so they don't go over or under what was intended; God tells us to give in a different way, not worrying about going over because God will take care of us
Module 5
- Volume of rectangular prisms
- Volume answers the question "How much can it hold?"
- Define volume and list formula
- Show example of how to solve
- Fill in the formula using a representation
- Match the equation to the representation
- Calculate the volume from a representation
- Identify and label volumes that were solved correctly and incorrectly
- Calculate the volume from a word problem
- Compare the volume of two objects given the l, w, and h
- Bible: John 4:13–14
- Jars can only hold so much water, which is volume, but Jesus tells the woman at the well about living water
Module 6
- Surface area of rectangular prisms
- Relate to wrapping a present
- Show example of surface area using the net shape
- Discuss how opposite sides are equal, so a formula of 2(lw) + 2(lh) + 2(wh) can be used instead of finding the area of each face separately and then adding
- Write correct measurements on rectangles when given measurements on a prism
- Label l, w, h on a net when given measurements on a prism
- Fill in the blanks to complete the equation for SA
- Complete SA problem on own with visual and with a word problem
- Bible: 1 Samuel 16:7
- God cares more about what is inside a person than what is on the outside; God sees what is in the heart
Module 7
- Circumference of a circle
- Discuss how the circumference of a circle is basically the perimeter, but instead of taking a tape measure and bending it all along the outside of a circle, we can use a formula to solve it a bit easier
- Use the formula C = 2𝛑r
- Define radius and diameter
- Solve for the circumference of a circle using 3.14 as pi
- Label the parts of a circle (radius, circumference, diameter)
- Fill in the blank to complete the formula for C
- Solve for C using a calculator
- Calculate the circumference of a circle in given word problems
- Bible: Psalm 136:1
- A circle never ends; the Lord's love for us doesn't end either
Module 8
- Area of a circle
- Compare area to circumference
- Review pi and formulas
- Practice plugging in radius into formulas
- Square numbers
- Solve for area of circles given measurements, representations, or word problems
- Bible: 1 Corinthians 3:16
- Your body is a temple, the space the Holy Spirit fills
Module 9
- Classifying 3D figures
- Review vocabulary (attributes, faces, edges, vertices, bases, and apex) by viewing examples of attributes on shapes
- Identify the number of faces, edges, and vertices a given 3D shape has
- List shapes that contain the given attribute
- Determine if a statement is true or false, given knowledge of 3D shapes
- Determine which shape in the group does not belong based on attributes
- Write about the similarities and differences between the given shapes
- Bible: Psalm 139:13–14
- God designed every shape to have attributes; He also has designed you for a purpose
Module 10
- Coordinate plane
- Define x-axis, y-axis, origin, coordinate plane, and ordered pair
- Demonstrate how to plot points on a grid
- Identify the X-axis and the X point in the order pair
- Write the ordered pair when given directions on how to plot
- Write directions on how to plot when given an ordered pair
- Write an ordered pair when plotted on graph
- Plot points on a coordinate plane
- Bible: Ecclesiastes 4:9
- Like ordered pairs are made from two numbers, God says two are better than one so we can encourage one another in our lives
Step 6
Module 1
- Angle relationships
- Review vocabulary: ray, vertex, and angle
- Review the degree sign and the angle sign
- Identify angle relationships: adjacent, vertical, complementary, and supplemental
- Complete sentences using new vocabulary and information from the lesson
- Given an equation, solve for the missing measurement
- Match angles to their complement
- Determine if a statement about angles is true or false
- When given an image of angles, solve for unlabeled angles using knowledge of vertical, complementary, and supplementary angles
- Bible: Galatians 6:22
- God gives us people in our lives that we can lean on (other Christians); Jesus did this in the Garden of Gethsemane
Module 2
- Circumference and area of circles
- Define radius, diameter, circumference, area, and pi
- Round pi to 3.14
- List formula for circumference and area
- Solve for area and circumference in a variety of ways (fill in the blank, solving, and matching)
- Solve questions given radius or diameter and distinguish difference between the two
- Bible: Revelation 1:8
- A circle can remind us of God: no beginning and no end; He is the Alpha and Omega, the beginning and the end
Module 3
- Area of more shapes
- Relate area of rectangles to area of parallelograms, triangles, trapezoids
- Note height is at a 90 degree angle from base (not slanted)
- Identify the height of 2D shapes
- List the formula for area of triangle, parallelogram, and trapezoid
- Match formula with plugged-in measurements to shape
- Determine the missing step in explanation of solution
- Determine area of shapes
- Bible: Proverbs 4:25
- Parallelograms have two sets of parallel sides which can remind us that our lives should be parallel to God's path
Module 4
- Surface area of prisms and cylinders
- Define surface area and relate it to real-world examples like wrapping gifts
- Look at nets of cylinders and prisms to see how the formulas are created
- List the formula for surface area of prisms and cylinders
- Solve for surface area when given equations and word problems
- Use knowledge of concept to fill in the blanks about surface area
- Given area of each shape of net, solve for surface area
- Bible: Psalm 91:4
- Surface area is what covers a shape; God covers and protects us
Module 5
- Volume of shapes
- Volume is the measure of the amount a 3D shape can hold
- Each shape has its own unique formula to calculate volume
- Rectangular prism V=lwh
- Pyramid V=1/3 (lwh)
- Cylinder V=(πr²)h
- Cone V=1/3 (πr²)h
- Answers are cubed because we are measuring space in three directions
- Identify the part of the formula that calculates the area of the base
- Solve word problems by finding volume
- Practice finding volume for given cylinders
- Bible: Psalm 23:5
- There is no limit to the blessings of God
- Find mistakes in a completed problem
Module 6
- Pythagorean theorem in right triangles
- The Pythagorean theorem a² + b² = c² works to find the hypotenuse
- Define right triangle, legs, and hypotenuse
- Review the steps to solving the Pythagorean theorem
- Identify right triangles
- Use Pythagorean theorem to determine which triangles are right and which are not
- Given measurements, solve to find the hypotenuse
- Solve to find the length of a missing leg
- Solve problems involving right triangles
- Bible: Psalm 46:10
- The hypotenuse only works with right triangles because of balance; when our lives feel off balance we are reminded to "Be still and know that I am God."
Module 7
- Applying transformations
- Define types of transformations (translation, rotation, dilation, and reflection)
- Determine the given situation as either translation, rotation, dilation, or reflection
- Circle term described
- Given letters and their transformation, determine the type of transformation
- Given an original shape and 3 options, choose which one shows the given transformation
- Draw examples of each transformation
- Bible: 2 Peter 3:18
- Growing in the knowledge of our faith is similar to dilation
Module 8
- Congruent and similar figures
- Define similar and congruent and show examples of each
- Use proportions to solve for the scale factor between similar shapes
- Solve for the scale factor when given side measurements
- Solve for missing angles in two congruent triangles
- When given scale factor and some side lengths, determine the other side lengths of two rectangles
- Use letters and symbols to show comparison between given shapes
- Solve word problems involving similar shapes
- Bible: Matthew 13:12
- Just as the smallest seed grows into the largest plant, Jesus can do great things with even a little faith
Module 9
- Proofs and reasoning
- Explain proofs, statements, reasoning, given, claim, and conclusion
- Steps to writing proofs
- Given the image, check off the statements that are given
- Determine if statements are true or false
- List three givens from a scenario
- List two givens from an image
- Fill in the blanks of a proof
- Write own proof
- Bible: 1 Thessalonians 5:21.
- A proof shows why something is true, it doesn't just accept generalities; we are encouraged to do the same thing with our faith
Module 10
- Coordinate grids
- Review parts of a coordinate plane (x-axis, y-axis, origin) and how to plot coordinate points (ordered pair)
- Plot and label the points of a rectangle given ordered pairs
- Given points on a grid; list the ordered pairs
- Find the missing vertex of a square on a grid, write the ordered pair and plot the point
- Translate a given triangle (3 units down), plot points, and write the ordered pair
- Reflect a given triangle twice (along the x-axis and y-axis), plot points, and write the ordered pair
- Describe how to tell if a shape has been translated instead of reflected on a coordinate plane
- Bible: Matthew 6:33
- Just like the origin is the anchor that holds a grid together, God is our anchor point