6th Grade Common Core Math

Tips and Support for Common Core Math Implementation

Tips, Math Practices, and Ideas about Perimeter and Area

Topic 17

17-1 Perimeter ** 6.EE.2.c M06-S4C4-05
17-2 Area of Rectangles and Irregular Figures** 6.EE.2.c M06-S4C4-04, M06-S4C4-05, M06-S5C1-02
17-3 Area of Parallelograms and Triangles** 6.EE.2.c M06-S4C4-04, M06-S4C4-05, M06-S5C1-02
17-4 Step-Up Lesson: Circumference 7.G.4 M06-S4C1-01
17-5 Step-Up Lesson: Area of a Circle 7.G.4
17-6 Problem Solving: Use Objects 6.G.4
18-5 Volume of Rectangular Prisms 6.G.2 M06-S4C4-06

CCSS.MATH.CONTENT.6.EE.A.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.

CCSS.MATH.CONTENT.6.G.A.2
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

CCSS.MATH.CONTENT.6.G.A.4
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

CCSS.MATH.CONTENT.7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Tip of the Day

How often do you tap into the “Problem-Based Interactive Learning” to develop the concept? In my opinion, those pieces are key to helping students develop the conceptual understanding of the lesson. It’s what moves students beyond memorization of steps to understanding the why and the beauty of mathematics!

Pi

Technology Integration Resources

Khan Academy

Learn Zillion

  1. Evaluate algebraic expressions with exponents
  2. Evaluate one-step algebraic expressions by substitution
  3. Write and evaluate algebraic expressions using formulas
  4. Evaluate multiple step algebraic expressions by substitution
  5. Find the area of a square and the surface area of a cube
  6. Find the volume of a cube
  7. Solve express by substituting variables w values

Math Practices

Which two math practices should be in every lesson? The two that I would argue develop mathematical habits of mind: #1) Make sense of problems and persevere in solving them, and #2) Attend to precision.

What does a student do when engaged in the above two math practices?

What does a teacher need to do to set up opportunities for students to engage in the above two math practices?

Creative Commons License Photo Credit: Steve Rotman via Compfight

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Tips , Mathematical Practices, and Ideas about Measurement

Topic 16- Measurement

Original Essential Map dates: March 3-March 7

*Note- many of these topics have been taught previously during double dose time. Rely on assessment data to review these and other topics previously taught in preparation for AIMS.

16-1 Converting Customary Measures** 6.RP.3.d M06-S4C4-02
16-2 Converting Metric Measures** 6.RP.3.d M06-S4C4-02
16-3 Units of Measure and Precision** 6.RP.3.d M06-S4C4-01
16-4 Relating Customary and Metric Measures** 6.RP.3.d M06-S1C2-02, M06-S1C2-03
16-5 Elapsed Time** 6.RP.3.d M06-S4C4-01, M06-S4C4-02
16-6 Problem Solving: Use Reasoning 6.RP.3.d M06-S5C2-07

** Seen in Double Dose in October-November.

CCSS.MATH.CONTENT.6.RP.A.3.D
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Double Dose Recommendations: 

  • Gather assessment data for AIMS review.
  • Pre-teach the following: Experimental Probability and Predictions (#94-95)

Tech Integration Ideas

In “Creepy Crawlies” (grades 5–8), part of Scholastic’s Math Hunt series, students go on an online fact-finding mission to answer five multiple-choice, math-related questions about bugs and insects. It’s great for integrating science and social studies, math and Internet fluency, and critical thinking.

In addition to challenging students’ reading comprehension skills, “Creepy Crawlies” tests these “math hunting” skills:

  • Algebraic Expressions: Order of Operations
  • Converting Units of Measurement
  • Fractions
  • Multiplication/Division

Tip of the Day

If you are departmentalized in 6th grade, I recommend tapping into the Science teacher to help integrate these standards. If you are not departmentalized, why not incorporate a science lesson to give context to when we’d use this math in the real world.

Math Practices

Here’s what the ADE says about 6.MP.7. Look for and make use of structure.

Students routinely seek patterns or structures to model and solve problems. For instance, students recognize patterns that exist in ratio tables recognizing both the additive and multiplicative properties. Students apply properties to generate equivalent expressions (i.e. 6 + 2x = 2 (3 + x) by distributive property) and solve equations (i.e. 2c + 3 = 15, 2c = 12 by subtraction property of equality; c=6 by division property of equality). Students compose and decompose two- and three-dimensional figures to solve real world problems involving area and volume.

What are some other resources, ideas, or tips you’d add to this topic?

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