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EAST ALLEN COUNTY SCHOOLS Bundle 5 Grade 6 Math
EAST ALLEN COUNTY SCHOOLS
Bundle 5
Grade 6
Math
Big Idea: Facts and Opinions Geometry
Enduring Understandings Essential Questions Geometric figures are classified by their physical attributes. Formulas can be used to calculate perimeter, circumference, and area of two-dimensional shapes. Pi represents the constant relationship between the circumference and the diameter of all circles. Geometry can be used to model and understand real-world situations.
In what ways do perimeter, circumference, area, and volume problems appear in real-life situations? In what situations are estimations more efficient than exact calculations? What is Pi? In what ways is measurement of length, width, and depth necessary in many real-life situations?
CC/Learning Targets Core Vocabulary Links to Technology *6.4.1 *6.4.2 6.4.3
*6.4.4 6.5.1 *6.5.4 a,b *6.5.5
*6.5.8abcde 6.7 6.EE.7 6.EE.9
adjacent angles circumference complementary angles supplementary angles
diameter interior angles vertical angles
-Math!!! (app) -Whiteboard (app) -Show Me (app) -SAS Flashcards (app)
Bundle Performance Task(s) Students will apply the strategies from the test-taking bundle, combined with prior knowledge, to complete multiple types of assessment. To help alleviate any pressure during this bundle, the ISTEP test in March will be considered the bundle performance task.
Grade 6 Math Bundle 5
Quarter 3 Jan.-Feb.
Recommended Read-Alouds
L.A. Bundle 5 Read-Alouds
Page 2 of 4
Big Idea: Facts and Opinions
Title Author Relates to…
Tables and Charts Brian Knapp Data,/Tables/Graphs
Grids and Graphs Brian Knapp Equations/ Grids/Graphs
Plotting Points and Position Andrew King Graphs
Math Appeal Greg Tang Patterns/Problem Solving
The Keeping Quilt Patricia Polacco Patterns
Charts and Graphs Karen Bryant-Mole Charts/Graphs
Math G6 - Bundle 5
CC/Learning Targets Resource of Ideas Evidence of Learning *6.4.1
a. Define, identify, and draw vertical angles.
b. Define, identify, and draw adjacent angles. c. Define, identify, and draw complementary angles. d. Define, identify, and draw supplementary angles.
e. State or write the relationships among vertical, adjacent, complementary, and supplementary angles.
-Angle Meter HD Lite (app) -Doodle Buddy (app) -Holt Middle School Math, Lessons 7-2, 7-3, 7-4, 7-5, 7-6, 7-7 -Midpoint and angle bisecting game (interactive)
-Holt Math Corresponding Lesson Resources -Hands-On Lab pp. 330-331
*6.4.2 Solve problems involving an unknown angular measure by using the properties of complementary, supplementary, and vertical angles and justify your solutions.
-Hamster Champs by Stuart Murphy (measuring angles) -GameClassroom.com (properties of angles; check out “Learning Tips, Online Resources, Extra Help Problems at bottom”)
-Angles of a triangle (interactive practice at the bottom of the page) -Holt Middle School Math, Lesson 7-3
-Holt Math Corresponding Lesson Resources -Angles of a triangle (interactive)
6.4.3 Draw quadrilaterals and triangles from
given information about their properties.
Include the properties of side length,
angle measure, type of triangle or
quadrilateral, similarity or congruence,
etc.
-The Dot and the Line: A Romance in Lower Mathematics by Norton Juster (geometry)
-2-D geoboard (interactive) -Congruent triangle drawing (interactive) -Holt Middle School Math, Lesson 7-6
-Holt Math Corresponding Lesson Resources
*6.4.4
a. Explain that the sum of the interior angles of any triangle is 180 degrees after exploring many kinds of triangles.
b. Explain that the sum of the interior
angles of any quadrilateral is 360
degrees after exploring many examples
of quadrilaterals.
c. Find the missing angle measure of
-Sir Cumference and the Great Knight of Angelland: A Math Adventure by Cindy Neuschwander (geometry)
-Angles of a triangle (interactive practice at the bottom of the page) -Quadrilaterals lesson (interactive practice at the bottom of the page) -Holt Middle School Math, Lessons 7-5, 7-6, Hands-On Lab 7B
-Angles of a triangle (interactive) -Angles of a quadrilateral quiz (interactive) -Holt Math Corresponding Lesson Resources
Math G6 - Bundle 5
triangles and quadrilaterals by using the
properties of the interior angles.
6.5.1
m. Measure angles by selecting the appropriate tool and unit within the traditional system.
n. Apply the understanding of the size of angle and units of angle measurement to solve problems.
-Inchworm and A Half by Elinor Pinczes (measurement) -How Tall How Short How Faraway? by David Adler (measurement) -The Librarian Who Measured the Earth by Kathryn Laskey (measurement) -Spaghetti and Meatballs for All: A Mathematical Story by Marilyn Burns (Area/Problem Solving) -Marvelous Math: A Book of Poems by Lee Bennett Hopkins (math connections) -Converting units for time, weight, length, area, and volume (interactive)
-Measuring length, width, height, and area of objects in classroom -Measuring volume and temperature of items in cafeteria -Build objects with measured height, width, depth, volume, angles, etc.
*6.5.4
a. Write or state the concept of the constant pi as the ratio of the circumference of a circle to its diameter. Use measurements of actual circles to support this understanding. b. Derive the formula for the circumference of a circle using the diameter and circumference measurements from actual circles.
-infoCircle (app) -Sir Cumference and the First Round Table: A Math Adventure by Cindy Neuschwander (circumference) -Diameter and radius of a circle lesson (interactive practice at bottom of page) -Circumference and Pi lesson (interactive practice at bottom of page) -Circumference and diameter lesson (interactive practice at bottom of page) -Holt Middle School Math, Lesson 10-5, Hands-On Lab pp. 514-515
-Diameter and radius of a circle quiz (interactive) -Circumference and Pi quiz (interactive) -Circumference and Pi quiz (interactive) -Circumference and diameter quiz (interactive) -Holt Math Corresponding Lesson Resources
*6.5.5 a. Write or state common estimates for the constant pi. b. Estimate and calculate the circumference of circles using the common estimates of pi. Compare the estimate to the calculation. c. Estimate and calculate the area of
-Learn Pi Free (app) -Sir Cumference and the First Round Table: A Math Adventure by Cindy Neuschwander (circumference) -Circumference using Pi lesson (examples and interactive practice)
-Circumference and Pi quiz (interactive) -Circumference and Pi quiz (interactive) -Circumference and diameter quiz (interactive)
Math G6 - Bundle 5
circles using the common estimates of pi. Compare the estimate to the calculation.
-Circumference and Pi lesson (interactive practice at bottom of page) -Circumference and diameter lesson (interactive practice at bottom of page) -Holt Hands-On Lab, pp. 514-515
*6.5.8abcde a. Compute the surface area of right prisms using appropriate units. Apply these techniques in the context of solving real-world and mathematical problems. Ensure that the dimensions of the prisms include fractional lengths.
b. Compute the volume of right prisms using appropriate units. Apply these techniques in the context of solving real-world and mathematical problems.
c. Create nets for cylinders.
d. Derive the formula for the surface area of a cylinder using its net.
e. Derive the formula for volume of a cylinders.
-Holt Math Corresponding Lesson Resources
6.7 Problem Solving -The Problem Solver 6: Activities for Learning Problem-Solving Strategies -Five Easy Steps to a Balanced Math Program for Secondary Grades pp.29-73 -Math Curse by Jon Scieszka (problem solving)
-Problem Solver Activities -See Problem Solving Template in Appendix.
6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
-Holt Middle School Math, pp. 604-605 -Problem Solver Activities -See Problem Solving Template in Appendix.
Math G6 - Bundle 5
6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
-Variables (independent/dependent)
-Variables video
-Problem Solver Activities -See Problem Solving Template in Appendix.
Correlating CC/Learning Targets Teacher Notes
6.3.1 6.3.2 6.3.6 6.3.9
-Problem Solving indicators need to be embedded in each Bundle
-Nlvm.usu.edu (huge library of virtual manipulatives for all standards!)
-Studyzone.com (huge library of process and content activities; many are interactive)
-Onlinemathlearning (huge library of online videos for all standards)
-Study Jams (huge resource of interactive lessons and activities) -Five Easy Steps to a Balanced Math Program for Secondary Grades, pp. 75-100 -All embedded apps included in this curriculum are free.
