Solving Problems by Creating Expressions—Dollar Bills
Solving Problems by Creating Expressions—Dollar Bills Mathematics Task Suggested Use This mathematics task is intended to encourage the use of mathematical practices. Keep track of ideas, strategies, and questions that you pursue as you work on the task. Also reflect on the mathematical practices you used when working on this task.
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Finding Triangle Vertices
mathpractices.edc.orgtask to allow the students to explore and extend their understanding of triangle area and its relationship to base and height and to engage in the MPs involved in problem solving and generalizing. (1) Sam: So let’s pick a point for the third vertex and see if the triangle has an area of 12 square units. Let’s try (8,4).
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mathpractices.edc.orgInterpreting Statistical Measures—Class Scores Mathematics Task Suggested Use This mathematics task is intended to encourage the use of mathematical practices. Keep track of ideas, strategies, and questions that you pursue as you work on the task. Also reflect on the mathematical practices you used when working on this task.
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mathpractices.edc.orgA.CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A.CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.
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mathpractices.edc.orgN-RN.B.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Math Topic Keywords: rational numbers, irrational numbers, proof, proof by contradiction, indirect proof
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mathpractices.edc.orgextending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5. Math Topic Keywords: exponents, rational exponents, rules of exponents
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