Grade 5 Math

RECEIVE

In the Bible, Yahuah often brings different groups together to make one whole (like Jew and Gentile in Messiah). In math, to add fractions with different denominators (bottom numbers), we must first find a Common Denominator.

Example: ¹₂ + ¹₄

We cannot add halves and quarters directly. We must change the ¹₂ into quarters. Since 2 x 2 = 4, we multiply the top and bottom of ¹₂ by 2.

^{1 x 2}_{2 x 2} = ²₄
Now add: ²₄ + ¹₄ = ³₄

REFLECT

1. ¹₃ + ¹₆ = ₆ + ¹₆ = ₆ = ¹₂ (simplified)

2. ¹₂ + ¹₃ (Common denominator is 6) = ₆ + ₆ = ⁵₆

3. If you have ¹₄ of a shekel and add ¹₈ of a shekel, what fraction do you have?

₈

RECALL

Draw two circles. Divide one into halves and shade 1/2. Divide the other into quarters and shade 1/4. Show how 1/2 equals 2/4.

RESPOND

Find a recipe. If it calls for 1/2 cup of flour and 1/4 cup of sugar, how much dry ingredients is that in total? Measure it out to see.

RECEIVE

When Yahusha fed the 5,000, He multiplied the food. Multiplying fractions is actually easier than adding them! You just multiply the numerators (tops) and the denominators (bottoms).

Example: ¹₂ x ¹₃

Top: 1 x 1 = 1
Bottom: 2 x 3 = 6
Answer: ¹₆

Think of it as "half OF a third." If you cut a third piece of bread in half, you get a sixth.

REFLECT

1. ¹₄ x ¹₂ =

2. ²₃ x ³₄ = ⁶₁₂ = ¹ (simplified)

3. If a field is ¹₂ mile long and ¹₂ mile wide, what is its area in square miles?

sq mile

RECALL

Draw a rectangle. Color 1/2 of it blue. Then draw lines to show 1/2 of that blue part. What fraction of the whole is the new part?

RESPOND

Take a piece of paper. Fold it in half. Fold it in half again. Unfold it. You have multiplied 1/2 x 1/2 to get 1/4 sections.

RECEIVE

Yahuah gave Noah specific instructions for the Ark: "The length of the ark shall be 300 cubits, its width 50 cubits, and its height 30 cubits" (Genesis 6:15). Volume is the amount of space inside a 3D object.

Formula: Volume = Length x Width x Height

Let's calculate the volume of the Ark in cubic cubits:

300 x 50 x 30 = 450,000 cubic cubits

That's a lot of space for animals and food!

REFLECT

1. The Ark of the Covenant was 2.5 cubits long, 1.5 cubits wide, and 1.5 cubits high. What is the volume?

2.5 x 1.5 x 1.5 =

2. A room in the Temple is 10 cubits long, 10 cubits wide, and 10 cubits high. What is the volume?

10 x 10 x 10 =

3. A storage box is 2 feet long, 2 feet wide, and 3 feet high. Volume?

cubic feet

RECALL

Draw a 3D box (rectangular prism) and label the Length, Width, and Height.

RESPOND

Find a shoebox or cereal box. Measure its length, width, and height in inches. Multiply them to find the volume.

RECEIVE

When Joshua divided the Promised Land, he described boundaries. We can use a Coordinate Plane to map locations. It has an X-axis (horizontal) and a Y-axis (vertical).

A point is written as (x, y).

Example: To find (3, 2), go RIGHT 3, then UP 2.

Imagine Jerusalem is at (0,0). Jericho might be at (2, 4).

REFLECT

1. If you start at (0,0) and go right 5 and up 3, what are the coordinates?
(, )

2. Which number in (4, 7) is the X-coordinate?

3. Plot these points on a piece of paper: (1,1), (1,4), (4,4), (4,1). Connect them. What shape did you make?

RECALL

Draw a simple coordinate grid (a big plus sign). Label the X axis and Y axis.

RESPOND

Draw a map of your room on graph paper. Use coordinates to describe where your bed is.

RECEIVE

Yahuah is a God of order, not confusion (1 Corinthians 14:33). In math, we must follow a specific order to get the right answer. We use the acronym PEMDAS.

1. Parentheses ( )
2. Exponents (powers)
3. Multiplication & Division (left to right)
4. Addition & Subtraction (left to right)

Example: 3 + 4 x 2

Wrong way: 3 + 4 = 7, then 7 x 2 = 14.

Right way (Multiply first): 4 x 2 = 8, then 3 + 8 = 11.

REFLECT

1. 10 - 2 x 3 =

2. (5 + 3) x 2 =

3. 20 ÷ 4 + 1 =

4. 6 + 4 ÷ 2 =

RECALL

Write down what PEMDAS stands for.

RESPOND

Create a math problem for your parents to solve. Make sure they follow the order of operations!

RECEIVE

Sometimes in Scripture, things are hidden for us to search out (Proverbs 25:2). In math, we use a letter (like x) to stand for a number we don't know yet. This is Algebra.

Example: x + 5 = 12

This asks: "What number plus 5 equals 12?"

To find x, we do the opposite. Subtract 5 from 12.

x = 12 - 5

x = 7

REFLECT

1. x + 3 = 10. What is x?

2. y - 4 = 6. What is y?

3. 2x = 12 (This means 2 times x is 12). What is x?

4. If Jacob worked 7 years for Leah and x years for Rachel, and total years was 14, solve: 7 + x = 14. x =

RECALL

Write your own equation using 'x'. Example: x + 2 = 5.

RESPOND

Use a scale or balance (or imagine one). If you have a mystery bag on one side and 3 blocks, and it balances with 10 blocks on the other side, how many blocks are in the bag? (x + 3 = 10).