Mathematics

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 Operations and Algebraic Thinking

Use parentheses in numerical expressions and evaluate expressions with this symbol. (5.OA 1)

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them    (5.OA.2)

Generate two numerical patterns, identify relationships between the patterns,  and graph the patterns on a coordinate plane (5.OA 3)

 Number and Operations in Base 10

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left and use place value patterns to multiply and divide by powers of ten. (5.NBT 1-2)

Read and Write decimals to the thousandths (5.NBT.3a)

Compare decimals to the thousandths   (5.NBT.3b)

Round decimals –millions through hundredths (5.NBT.4)

Fluently multiply multi-digit whole numbers   (5.NBT 5)

Find whole number quotients of whole numbers. Illustrate and explain using equations, rectangular arrays or area models     (5.NBT.6)

Add and subtract decimals, including decimals with whole numbers (5.NBT.7a)

Multiply whole numbers by decimals(5.NBT.7b)                                                                                               

Divide whole numbers by decimals and decimals by whole numbers  (5.NBT.7c)             

 Numbers and Operations-Fractions

Use equivalent fractions as a strategy to add and subtract fractions. Solve real-world problems involving adding and subtracting fractions (5 NF 1-2)

Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers (5 NF 3)

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.  Solve real world problems involving multiplication of fractions and mixed numbers. (5 NF.4 and NF.6) )

Interpret multiplication as scaling (resizing)    (5 NF.5)           

Divide unit fractions by whole numbers and whole numbers by unit fractions and apply the skill to solve real-world problems   ( 5 NF.7)

 Measurement and Data

Convert like measurement units within a given measurement system. (5.MD 1)

Display and interpret fractional and decimal data in graphs to solve problems (5.MD2)

Understand concepts of volume, measure volume and relate volume to multiplication and to addition. Apply understanding and skills to solve real-world problems. (5.MD 3-5)

 Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems. (5.G.1-2)

Identify and describe types of triangles based on angle measures and side lengths. (5.G.3)

Identify and describe types of quadrilaterals based on angle measures, side length and the presence or absence of parallel and perpendicular lines.   (5.G.4)