Product Overview

Designed with our easy cut system - 5 cuts or less. Requires only 1 cut.
Printed on premium thick card stock. May be used unlaminated or laminated

Imagine handing your students a single resource that turns the order of operations from a memorized chant into a confident, transferable habit. This product is a comprehensive PEMDAS & Properties Toolkit for Grades 4–6. It weaves quick-fire drills, real-world word problems, and explicit explorations of multiplication and division properties into one coherent package. The materials walk learners from “Which step comes first?” all the way to “How can I rewrite an expression so it’s easier to solve?”—skills they must command before they cross the bridge to algebra.

What’s Inside

50 Quick-Fire Expressions
- Ten full sets of carefully sequenced PEMDAS drills ranging from one-step warm-ups to nested-parentheses challenges.
10 Real-World Word Problems
- Multi-step contexts involving money, measurement, and ratios, each followed by step-by-step solution logic.
Property Focus Mini-Sets
- Six-problem collections for every key multiplication/division property:
  - Commutative
  - Distributive
  - Associative
  - Identity (× 1 and ÷ 1)
  - Zero (× 0 and 0 ÷ n)
  - Multiplicative Inverse
  - Closure
  - Reciprocal/Inversion Link
  - Distributive via Reciprocals
  - Undefined Division by 0

Learning Objectives

By the end of the unit, students will be able to:

Apply the order of operations (parentheses, exponents, multiplication/division, addition/subtraction) accurately and fluently in increasingly complex numerical expressions.
Explain and use the fundamental properties of multiplication and division to generate equivalent expressions and to justify each step of problem-solving.
Translate real-world situations into numerical expressions or equations, choose appropriate operations, and verify the reasonableness of answers.
Rewrite division as multiplication by a reciprocal and “split” a single fraction bar into separate quotients, paving the way for fraction operations in algebraic contexts.
Critique and correct peer work by spotting order-of-operations or property-misuse errors—a direct practice of Mathematical Practice Standard MP.3 (“Construct viable arguments and critique the reasoning of others”).

How This Toolkit Builds an On-Ramp to Algebra

Symbol Sense, Not Just Number Crunching
Students learn that parentheses can act like “big hands” grouping any chunk of an expression—exactly the skill they will need when variables begin to appear.
Flexible Representation
When learners see that is the same as , or that $(2 \times 5) \times 3$ equals $2 \times (5 \times 3)$ , they begin viewing expressions as elastic objects they can reorganize—core to solving multi-step linear equations later on.
Error Immunity
A deep grasp of why division by zero is undefined or why ÷ 1 changes nothing heads off the classic algebra mistakes of cancelling terms incorrectly or dividing both sides of an equation by a variable that might be zero.
Fluency with Fractions and Decimals
Reciprocal drills and money-based word problems reinforce fraction–decimal equivalence, smoothing the leap to rational expressions in middle-school algebra.
Vocabulary and Justification
Every property mini-set asks students to state the rule in words, supply a numeric example, and explain its significance. This habit of verbal justification is exactly what algebra teachers expect when students must prove that two forms of an expression are equivalent.

RESOURCES

View the Standards that are met through this material

Download the Answer Key (Answer key is provided only as a download)

SUGGESTED CONTAINERS

1 large slotted container or 1 acrylic sorter.