Grade 5 Math

Unit 1: Numbers and Operations – Fractions

April 6-17

Use equivalent fractions as a strategy to add and subtract fractions.

  • NY-5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
  • NY-5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators.
    • e.g., using visual fraction models or equations to represent the problem.
    • Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
    • e.g., Recognize an incorrect result 2/5 + 1/2 = 3/7 by observing that 2/7 < 1/2

Unit 2: Numbers and Operations – Fractions

April 20-May 1

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

  • NY-5.NF.3 Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).e.g., Interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4.
    • Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.
    • e.g., using visual fraction models or equations to represent the problem.
    • e.g., If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
    • Convert like measurement units within a given measurement system.
  • NY-5.MD.1 Convert among different-sized standard measurement units within a given measurement system when the conversion factor is given. Use these conversions in solving multi-step, real-world problems.

Unit 3: Numbers and Operations – Fractions

May 4-May 15

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

  • NY-5.NF.4a Interpret the product
    • a/b × q as a part of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.
    • e.g., Use a visual fraction model to show 2/3 × 4 = 8/3, and create a story context for this equation. Do the same with 2/3 × 4/5 = 8/15.
  • NY-5.NF.4b Find the area of a rectangle with fractional side lengths by tiling it with rectangles of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Unit 4: Numbers and Operations – Fractions

May 18-29

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

  • NY-5.NF.6 Solve real world problems involving multiplication of fractions and mixed numbers.
    • e.g., using visual fraction models or equations to represent the problem.
  • NY-5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Units 5 & 6: Measurement and Data & Geometry

June 1-17

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

NY-5.MD.5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Graph points on the coordinate plane to solve real-world and mathematical problems.

NY-5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.