Math Resource: Rich tasks, Released Assessment Items and Conceptual Understanding Mini Assessments for Focus Standards in Grade 3 and 5

Grade 3

Number & Operations in Base Ten

3.NBT How Many Colored Pencils? – The purpose of this task is to support students’ reasoning based on place value to multiply a single digit number by a multiple of 10.

Geometry

3.G Representing Half of a Circle – For each picture, decide whether one half of the circle is shaded or not. Explain how you know.

No resource at this time.

Operations & Algebraic Thinking

Grade 3: Plums – 3 OA: Which context matches the mathematical expression

3.OA, MD, NBT Classroom Supplies – 3 OA, MD, MBT In this task students are asked to decide how to spend $1,000 on supplies and materials for their classroom; students will have to make choices and be careful not to exceed the budget. Students will draw a scale bar graph to represent a data set with several categories”

Number & Operations – Fractions

3.NF Locating Fractions Less than One on the Number Line – 3 NF students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s).

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Grade 5

Number & Operations in Base Ten

Grade 5: Division Accuracy – 5.NBT.B.6 – Find whole-number quotients of whole numbers with up to four-digit dividends and two- digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Ask students to provide a real life context. 

5.NBT Marta’s Multiplication Error – 5 NBT: This task highlights a common misconception among students deriving the rules for multiplying a number by a power of 10. A student multiplies a decimal by 10.

5.NBT The Value of Education – 5 NBT: The purpose of this task is for students to add, subtract, multiply, and divide decimal numbers in a real-world context.

5.NBT Rounding to Tenths and Hundredths – 5 NBT: The purpose of this task is for students to use the position of a number on the number line to round the number without knowing its exact value.

5.NBT Are these equivalent to 9.52? – 5 NBT: The purpose of this task is to help students develop the understanding that a single base-ten number can be represented in many different ways.

Number & Operations – Fractions

Leapfrog Fractions – Students use fractions to solve problems so a frog can jump on lily pads to get to the island which is equal to 1 whole. 

5.NF Making Cookies – Students increase triple a recipe or 3/4 a recipe. This tasks lends itself very well to multiple solution methods.

5.NF Connor and Makayla Discuss Multiplication – This task illustrates the commutative property of multiplication by comparing tape diagrams and different worked examples.

5.NF Finding Common Denominators to Subtract – The purpose of this is to help students realize that any common denominator will work, not just the least common denominator when subtracting fractions. 

5.NF Banana Pudding – The purpose of this task is to provide students with a concrete situation they can model by dividing a whole number by a unit fraction.

5.NF Comparing a Number and a Product – The purpose of this task is for students to compare a number and its product with other numbers that are greater than and less than one.

Geometry

5.G Battle Ship Using Grid Paper – The purpose of this task is to give students practice plotting points in the first quadrant of the coordinate plane and naming coordinates of points. This activity is modeled after Game Battle Ship.

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Operations & Algebraic Thinking

5.OA Sidewalk Patterns – This purpose of this task is to help students articulate mathematical descriptions of number patterns.

5.OA Watch Out for Parentheses 1 – Students evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of pareentheses.  

5.OA Video Game Scores – Students write an expression and interpret a given expression in the context of video games.

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Measurement & Data

Grade 5: Volume Units – Student recognize volume as an attribute of solid figures and understand concepts of volume. 

Box of Clay – This routine is designed to develop students’ ability to make sense of problems by deconstructing the process of reading mathematical situations.

No resource at this time.