How many unsharpened pencils are the same weight as a standard stapler?
Record an estimate that is:
too low
about right
too high
Explain your reasoning.
7.2
Activity
What’s the Same? What’s Different?
Standards Alignment
Building On
Addressing
6.EE.2.c
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s³ and A = 6 s² to find the volume and surface area of a cube with sides of length s = 1/2.
For each pair of equations, decide whether the given value of is a solution to one or both equations.
7.3
Activity
Generating Equivalent Equations
Standards Alignment
Building On
Addressing
6.EE.3
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Your teacher will display an equation. Take turns with your partner to generate an equivalent equation—an equation with the same solution. Generate as many different equations with the same solution as you can. Keep track of each one you find.
For each change that you make, explain to your partner how you know that your new equation is equivalent. Ask if your partner agrees with your thinking.
For each change that your partner makes, listen carefully to the explanation about why the new equation is equivalent. If you disagree, discuss your thinking and work to reach an agreement.
Glossary
None
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Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.