3-20-13 Size, Shape, Scale, Solved!

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 7: GEOMETRY

Grade 7 Geometry
Draw construct, and describe geometrical figures and describe the relationships between them.		RESOURCES Unit on Discovery Ed
7.G.1.	Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.	Scale drawings on Basic Mathematics.com IXL scale drawings Scale Drawings tutorials BrainPOP scale drawing Scale Drawing lessons on Pinterest
7.G.2.	Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.	Worksheet: Shapes from properties BBC Drawing Triangles Learn Zillion Draw Triangles Math Open Reference GeoGebra: 3 angles Constructing Triangles
7.G.3.	Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.	Teaching Cross-Sections of 3D Shapes Geo Faces and Frames Lesson Learn Zillion: Slicing 3D Figures Lesson on Mentor Mob
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.		Yay Math: Geometry
7.G.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.	Circle Tool Circumference and Area on Math Goodies Circle Lessons on ShareMyLesson.com Circles: Radius, Diameter and Circumference on Khan Academy Area, Volume and Perimeter ideas on Pinterest
7.G.5.	Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.	Angles Home Study guide IXL: Missing Angle Finding Angles Practice Supplementary Angles Vertical Angles Complementary Angles Finding Unknown Angles
7.G.6.	Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.	3D tin Geometric Formulas Explore and Play with Surface Area Surface Area and Volume Activity Investigating Geometry Online Geometry Word Problems Art and Geometry

1-14-2012 CCCS Ratios and Proportional Relationships Grade 7

Continuing my way through the standards, offering links, lessons, and ideas to help teach the 

Core Curriculum Content Standards

Math Grade 7

Ratios and Proportional Relationships

STRAND	CPI	SKILLS	RESOURCES
Ratios and Proportional Relationships	The goal -     Students will connect ratio and rate to whole number multiplication and division and use concepts of ratio and rate to solve problems.	More specifically, students use reasoning about multiplication and division to solve ratio and rate problems about quantities. By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities, students connect their understanding of multiplication and division with ratios and rates. Thus students expand the scope of problems for which they can use multiplication and division to solve problems, and they connect ratios and fractions. Students solve a wide variety of problems involving ratios and rates.	Dirt Bike Proportions Ratio Blaster Ratio Stadium Math 6 Spy Guys
Understand ratio concepts and use ratio reasoning to solve problems.
·	1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.	For example, If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.	Ratios  Ratio Workout Practice More Practice Determine the Ratio Rate Demos Rate Tutorial Unit Rate Practice Scale Measures Converter
	·    2.Recognize and represent proportional relationships between quantities.	For example, Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.	Ratios and Proportions Introduction Proportion Mini-lesson Ratio and Proportion Videos Matching Equivalent Ratios Proportion Workout
		Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.	Rhythm Wheels Ratio and Proportion Ratio Tables and Proportions Ratio Tables and Proportions Video Unit Rate Problems
		Represent proportional relationships by equations.  For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.	Proportional Relationships Proportion Word Problems Linear Equation
		Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.	Understanding Slope Slope as a Unit Rate Interpret Slope
	3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.		Ratios, Rates, Percents, and Proportion Ratio, Proportion, Percent, Probability Lessons Percent Wheel Percent and Proportions Lesson Percentage Lessons With a Calculator

Please post a comment below if you have a site or lesson idea to share for teaching this standard.  I would love your input!

1-13-2012 CCCS Ratios and Proportional Relationships Grades 6

Continuing my way through the standards, offering links, lessons, and ideas to help teach the 

Core Curriculum Content Standards

Math Grade 6

Ratios and Proportional Relationships

STRAND	CPI	SKILLS	RESOURCES
Ratios and Proportional Relationships	The goal -     Students will connect ratio and rate to whole number multiplication and division and use concepts of ratio and rate to solve problems.	More specifically, students use reasoning about multiplication and division to solve ratio and rate problems about quantities. By viewing equivalent ratios and rates as deriving from, and extending, pairs of rows (or columns) in the multiplication table, and by analyzing simple drawings that indicate the relative size of quantities, students connect their understanding of multiplication and division with ratios and rates. Thus students expand the scope of problems for which they can use multiplication and division to solve problems, and they connect ratios and fractions. Students solve a wide variety of problems involving ratios and rates.	Math Live Maths Masters Virtual Manipulatives
Understand ratio concepts and use ratio reasoning to solve problems.
·	1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.	For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.”  “For every vote candidate A received, candidate C received nearly three votes.”	Ratios Ratio and Proportion Matching Equivalent Ratios Ratios and Proportions Introduction
	·         2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.	For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.”  “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”1	Ratios, Rates, Percents, and Proportion Rate Tutorial Unit Rate Practice
	3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.	Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.	Rhythm Wheels Ratio Tables and Proportions Ratio Tables and Proportions Video Proportion Workout Determine the Ratio
		Solve unit rate problems including those involving unit pricing and constant speed.  For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?	Proportion Mini-lesson Ratio and Proportion Videos Rate Demos Practice  More Practice Ratio Workout
		Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.	Ratio, Proportion, Percent, Probability Lessons Percent Wheel Percent and Proportions Lesson Percentage Lessons With a Calculator
		Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.	Scale Measures Converter Dirt Bike Proportions Ratio Blaster Ratio Stadium Math 6 Spy Guys

Please post a comment below if you have a site or lesson idea to share for teaching this standard.  I would love your input!