Math in Focus Chapter 12: Real-World Problems: Measurement
Big Idea: Bar models can be used to solve one- and two-step problems on measurements.
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Key Visuals/Activities:
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Lesson Preview:
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Vocabulary (see Chapter 11): meter, centimeter, kilometer, distance, kilogram, gram, liter, milliliter, volume, capacity
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Learning Videos:From Chapter 9:
Game Suggestions for Real-World Problems: |
Learning Links:Workbook Videos (by Daniel Lu):
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Common Core State Standards:
- CCSS.MATH.CONTENT.3.OA.A.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
- CCSS.MATH.CONTENT.3.OA.A.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?
- CCSS.MATH.CONTENT.3.OA.B.5 Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
- CCSS.MATH.CONTENT.3.OA.B.6 Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
- CCSS.MATH.CONTENT.3.OA.C.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
- CCSS.MATH.CONTENT.3.MD.A.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.
- CCSS.MATH.CONTENT.3.NBT.A.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
- CC.K-12.MP.1 Make sense of problems and persevere in solving them.
- CC.K-12.MP.2 Reason abstractly and quantitatively.
- CC.K-12.MP.4 Model with mathematics.
- CC.K-12.MP.5 Use appropriate tools strategically.
- CC.K-12.MP.7 Look for and make sense of structure.
Chapter 12 Review:
Chapter 12 Family Letter:
Additional Resources
from the Math in Focus Curriculum