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Features

  • Forms A and B ask the same questions with different numbers
  • Write an equation with a letter for a two-step story shown in a strip diagram
  • Solve a story in three steps with all four operations
  • Estimate to decide whether an answer to a story is reasonable
  • Extend a number pattern from a rule and tell whether its numbers are odd, even or both
  • Fill in a pattern and write its rule, and draw the next step of a shape pattern
  • The last four questions (= and ≠, a letter in any place, input-output tables, rules by position) are for the states that teach them
  • Answer keys name the lesson and skill of every question

Skills Covered

  • Two-step stories with a strip diagram and a letter
  • Multi-step stories with all four operations
  • Estimate to check an answer
  • Number patterns from a rule
  • What a rule does not say: odd and even
  • Shape patterns from a rule
  • True or false with = and ≠
  • A letter in any place of an equation
  • Input-output tables
  • Rules by position

How to Use This Pack

The unit test for the sixth unit of 4th grade, multi-step problems, equations and patterns. Pages 1 and 2 are Form A. Pages 3 and 4 are Form B: the same questions in the same order with different numbers, for a retake, a make-up or a second seating. Each form has 10 questions, one point each, and a Score line on its first page. Questions 7 to 10 (= and ≠, a letter in any place, input-output tables and rules by position) are for the states that teach them in this unit.

In the Classroom

Give Form A the day after the unit review. The keys write one equation for each story and one estimate; any equation that fits the story is right, any letter will do, and an estimate rounded another sensible way is fine. Several questions hold more than one part (questions 7 and 8 have four rows each): give the point when all are right, or score them by the part if you like. Leave out questions 7 to 10 if your class does not learn them and score out of 6. The answer keys name each question's skill, so a missed question points to the lesson to reteach.

At Home

Use Form B as a check after the unit. When your child solves a story, ask what the letter stands for and whether the answer makes sense next to a quick estimate.

Tips for Success

  • Say what the letter stands for before writing the equation
  • In a multi-step story, the answer to one step is a number in the next
  • Round each number to estimate, then compare the estimate with the answer
  • Adding an even number keeps odd numbers odd; adding an odd number makes odd and even take turns
  • Use Form B as a retake after reteaching what was missed

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 3.OA.A.4 Solve for the missing number in multiplying or dividing equations, such as 7 × ? = 42 or ? ÷ 3 = 6.
  • 4.OA.A.3 Solve multi-step story problems with whole numbers and all four operations, deciding what remainders mean, writing equations with a letter, and checking by estimating.
  • 4.OA.C.5 Make a number or shape pattern from a rule and notice features the rule does not say, such as terms switching between odd and even.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

4th Grade Multi-Step Problems and Patterns Test

The unit test on multi-step story problems, equations and patterns in two forms, from strip diagrams to rules by position. Students write equations with a letter for the unknown, solve and check multi-step stories, extend number and shape patterns from a rule and find the rule of a table.

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What’s Included

  • The unit test in two forms, A and B (10 questions each)
  • Answer keys that name each question's lesson and skill (8 pages in all)
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