• Chapter 7:
    Patterns & Probability 
  • Overview 

    Unit 7 provides a review of material covered earlier in the year, as well as opportunities to extend skills and concepts into working with larger numbers and bigger ideas. Early in the unit, students investigate a variety of shape and number sequences, looking for patterns that will enable them to extend each sequence and state the general rule that produced it. In the second module, students hone their skills with choosing and writing equations to represent multi-step number and story problems. In the latter half of the unit, students review some of the strategies they have developed for multi-digit multiplication over the year and explore the standard multiplication algorithm. 

    Skills Across the Grade Levels 

    The table below shows the major skills and concepts addressed in Unit 7. It is meant to provide a quick snapshot of the expectations for students’ learning during this unit, as well as information about how these skills are addressed in Bridges Grade 3, elsewhere in Grade 4 including Number Corner (NC), and also in Grade 5. 

    Major Skills/Concepts Addressed Gr. 3 Unit 7 Gr. 4 Elsewhere Gr. 5 

    4.OA.2 Solve story problems involving a multiplicative comparison using multiplication or division.

    4.OA.3 Solve multi-step story problems involving only whole numbers, using addition, subtraction, multiplication, and division.

    4.OA.3 Write equations with a letter standing for an unknown quantity to represent a multi-step story problem.

     4.OA.3 Assess the reasonableness of answers to multi-step story problems using mental computation, rounding, or other estimation strategies. 

    4.OA.5 Generate a number or shape pattern that follows a given rule. 

    4.OA.5 Identify features of a pattern that were not explicit in the rule used to generate that pattern. 

    4.NBT.5 Multiply a 2 or 3-digit whole number by a 1-digit whole number using strategies based on place value and the properties of operations. 

    4.NBT.5 Multiply two 2-digit numbers using strategies based on place value and the properties of operations. 

    4.NBT.5 Use equations, rectangular arrays, or an area model to explain strategies for multiplying with multi-digit numbers. 

    4.MD.1 Identify the relative sizes of centimeters, meters, and kilometers; grams and kilograms; ounces and pounds; milliliters and liters; seconds minutes, and hours. 

    4.MD.1 Express a measurement in a larger unit in terms of a smaller unit within the same system of measurement. 

    4.MD.1 Record equivalent measurements in different units from the same system of measurement using a 2-column table. 

    4.MD.2 Solve story problems involving distance, time, liquid volume, and mass using addition, subtraction, multiplication, and division of whole numbers. 

    4.MD.2 Solve story problems that involve expressing measurements given in a larger unit in terms of a smaller unit within the same system of measurement; use diagrams to represent measurement quantities. 

    5.OA.1 Write and evaluate numerical expressions with parentheses. 

    5.OA.2 Write a simple expression to record calculations with numbers; interpret numerical expressions without evaluating them. 

    *Retrieved on July 21, 2021 from http://bridges.mathlearningcenter.org/