Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Compare two groups by matching items, counting totals, and using =, <, and > correctly. You will decide which group has more, fewer, or the same amount without relying on guesswork.

Use what you learned in the previous lesson to solve real-world problems.

Read an equation as a statement that two sides have the same value. You will place missing numbers in simple equations and see why 7 + 3 = 10 and 10 = 7 + 3 both say something true.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Use addition when quantities are joined or when a number increases. You will model addends and sums with simple stories, pictures, and equations.

Use what you learned in the previous lesson to solve real-world problems.

Rearrange addends to make addition easier without changing the sum. You will use the commutative property, associative property, and adding zero to calculate more fluently.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Add larger whole numbers by lining up digits, adding one column at a time, and regrouping when a column makes 10 or more. You will track carried values so the final sum stays organized.

Use what you learned in the previous lesson to solve real-world problems.

Use subtraction when something is taken away, when you compare two amounts, or when you need the missing part. You will connect each meaning to an equation like 12 - 5 = 7.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Turn subtraction into a related addition fact to find or check an answer. You will reason that if 14 - 6 = 8, then 6 + 8 = 14 must also be true.

Use what you learned in the previous lesson to solve real-world problems.

Subtract larger whole numbers by working column by column and regrouping when the top digit is too small. You will keep track of exchanged tens so each step is valid.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Build multiplication from equal groups, repeated addition, and arrays. You will connect a story like 4 bags with 6 apples each to 4 × 6 and to the total number of objects.

Use what you learned in the previous lesson to solve real-world problems.

Use patterns, doubles, and the order of factors to learn multiplication facts efficiently. You will see why 3 × 8 and 8 × 3 have the same product even though the groups can be described differently.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Break one factor into easier parts and add the partial products. You will use the distributive property to calculate products like 6 × 14 as 6 × 10 plus 6 × 4.

Use what you learned in the previous lesson to solve real-world problems.

Multiply larger whole numbers with partial products or the standard algorithm. You will line up each partial product carefully and add them to get the final product.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Use division when a total is split into equal shares or separated into equal groups. You will connect the total, group size, number of groups, and quotient in equations like 20 ÷ 4 = 5.

Use what you learned in the previous lesson to solve real-world problems.

Use multiplication facts to solve division facts and check the quotient. You will reason that 36 ÷ 6 = 6 because 6 × 6 = 36.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Handle division problems where equal groups do not use everything up. You will decide what the remainder means, such as leftover objects, an extra group needed, or a leftover amount that stays separate.

Use what you learned in the previous lesson to solve real-world problems.

Divide larger whole numbers by estimating a useful part of the quotient, subtracting the amount used, and repeating until nothing or a remainder is left. You will compare partial quotients with the standard long-division layout.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Choose the operation that matches a word problem’s action: joining, taking away, equal groups, sharing, or comparing. You will write an equation before calculating so the numbers do the right job.

Use what you learned in the previous lesson to solve real-world problems.

Evaluate expressions with more than one operation by following parentheses first, then multiplication and division, then addition and subtraction from left to right. You will avoid common mistakes like adding before multiplying just because it appears first.

Use what you learned in the previous lesson to solve real-world problems.

Check what you understood with a short quiz.

Review this chapter with practice based on your mistakes.