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Showing posts with label ratio. Show all posts
Showing posts with label ratio. Show all posts

Tuesday, February 24, 2015

Bad Dates, Ratios, Rates, and Proportions


The sixth grade math teachers were looking for ways to integrate technology into their lessons on ratios and proportions.  This is what I came up with.
  1. BBC Lesson, Activity, and Test - http://www.bbc.co.uk/bitesize/ks3/maths/number/ratio/revision/1/
  2. Matching equivalent ratios (allow popup) - http://www.harcourtschool.com/activity/con_math/g05c27.html
  3. Fruit Loops - http://tothesquareinch.wordpress.com/2011/12/31/fruit-loop-ratios/
  4. Common Core Assessment: Truffles (with sample responses)- http://www.insidemathematics.org/assets/common-core-math-tasks/truffles.pdf
  5. Ratios on AAA math - http://aaamath.com/rat.html
  6. Ratio Blasters - http://www.arcademicskillbuilders.com/games/ratio-blaster/ratio-blaster.html
  7. Ratio Stadium - http://www.arcademics.com/games/ratio-stadium/ratio-stadium.html
  8. Musical Ratios - http://csdt.rpi.edu/latino/rhythm/rhy_intr.htm
  9. Homework help - http://www.mathvillage.info/node/91
  10. Ratios and Proportions Whiteboard lesson - https://www.wisc-online.com/learn/formal-science/mathematics/gem2004/ratios-and-proportions
  11. Ratios and Proportions - http://www.math.com/school/subject1/lessons/S1U2L2GL.html
  12. Dirt Bike proportions - http://www.arcademics.com/games/dirt-bike-proportions/dirt-bike-proportions.html
  13. Ratios, Rates, and Percentages on Kahn Academy - https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic
  14. Percents on AAA math - http://www.aaamath.com/pct.html


Lessons and Projects

Wednesday, March 20, 2013

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

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
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.
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.
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
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.
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.
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

Friday, January 13, 2012

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
SKILLSRESOURCES
Ratios and Proportional RelationshipsThe 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.
  1. Math Live
  2. Maths Masters
  3. 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.” 
  1. Ratios
  2. Ratio and Proportion
  3. Matching Equivalent Ratios
  4. 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

  1. Ratios, Rates, Percents, and Proportion
  2. Rate Tutorial
  3. 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.
  1. Rhythm Wheels
  2. Ratio Tables and Proportions
  3. Ratio Tables and Proportions Video
  4. Proportion Workout
  5. 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?

  1. Proportion Mini-lesson
  2. Ratio and Proportion Videos
  3. Rate Demos
  4. Practice 
  5. More Practice
  6. 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.

  1. Ratio, Proportion, Percent, Probability Lessons
  2. Percent Wheel
  3. Percent and Proportions Lesson
  4. Percentage Lessons
  5. With a Calculator
  • Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

  1. Scale Measures
  2. Converter
  3. Dirt Bike Proportions
  4. Ratio Blaster
  5. Ratio Stadium
  6. 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!