Virginia Department of Education
Properties of Real Numbers
Students use paper cups and colored chips to observe properties of operations with real numbers. As a class, students brainstorm and use manipulatives to demonstrate associative, commutative, distributive identity and inverse properties....
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Division Practice 2
In this mathematics worksheet, 3rd graders complete the pattern for each set of numbers. Then they solve each of the four word problems and draw an illustration for each. Students also identify which numbers go into the puzzles illustrated.
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Picture Graphs
In this mathematics worksheet, students look at pictures and identify how many of each object is illustrated. Then they graph their results on the graph given. Students also draw tally marks to count how many faces are in the pictures.
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How Many?
In this mathematics worksheet, learners count the number of objects in each group illustrated. Then they write how many in the box to the right.
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Counting Shapes
In this mathematics instructional activity, students identify various shapes. Then they circle the correct number of shapes illustrated in each box. There are 10 problems to solve on the sheet.
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Division Concept 1
In this mathematics learning exercise, 4th graders write a division sentence and a multiplication sentence for each illustration. Then they continue the patterns for the given numbers and write another division for each division problem...
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Division as Making Groups
In this mathematics instructional activity, 3rd graders make a division sentence with each group illustrated in the box. Then they make groups by circling dots and writing a division sentence. Students also draw a picture and divide them...
Illustrative Mathematics
Finding the Line of Symmetry
Can you find the line of symmetry? That's what your students will demonstrate by completing this worksheet. The task gets increasingly difficult as shapes are included that have one line of symmetry, no lines of symmetry, and multiple...
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Distances on the Number Line 2
Simple tasks are presented for your seventh grade math masters. They are to determine whether two numbers on a number line are equidistant from zero and what the two added together would be.
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8.SP.1Texting and Grades I
Here is a fitting question for middle schoolers to consider: Is there a relationship between grade point average and frequency of sending texts? Starting statisticians examine a scatter plot and discuss any patterns seen.
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A Sum of Functions
Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...
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Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
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Two Triangles' Area
Need an activity for teaching the Pythagorean Theorem? Geometry juniors apply the Pythagorean theorem to two triangles to determine a final calculation.
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The Square Counting Shortcut
An excellent lesson that encourages students to discover how complex figures can be broken into simpler shapes when measuring area. Working with block letters, learners are given the freedom to develop their own strategies for...
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Sore Throats, Variation 1
Why does Nia's water taste saltier than Trey's if she put more into her cup than he did? Math masters set up proportions in order to compare the mixtures. This task effectively has learners apply the concepts of ratio and proportion to a...
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Selling Fuel Oil at a Loss
Learners are asked to advise a fuel oil dealer on a possible investment. They must use two different rates to set up an equation and solve to determine how much oil he should sell now to break even after selling the remainder the next...
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Halves, Thirds, and Sixths
An excellent activity that effectively pulls together the concepts of area, fractions, and equivalent fractions! Using 3x2 rectangular arrays, 3rd graders are introduced to the concept of area in terms of square units. Building on this...
Illustrative Mathematics
What is a Trapezoid? (Part 2)
This collaborative activity investigates the meaning of a trapezoid and a parallelogram. It begins by presenting two different definitions of a trapezoid. Learners are to reason abstractly the difference between the two definitions and...
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A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
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Congruent Segments
The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another.
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Reflecting a Rectangle Over a Diagonal
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
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Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.
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Strict Parents
Are your parents or guardians strict? That's an interesting question many of your pupils are probably interested in discussing. How do you design a study directed at your high schooler to gain insight into that question? How do you...
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7.RP Music Companies, Variation 1
We've got the beat! And your musically-minded mathematicians will tap their toes as they determine which music company would be getting a better deal based on their offers to buy out TunesTown. The topic is extended in an additional...