Math 7- Core Map Quarter 3
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Ratio, Rates and Proportions Converting Rates-Dimensional Analysis Proportional vs. Non-proportional relationships Graphing Proportional Relationships Comparing / Analyzing Proportional Relationships Solving Proportions Scale Models/Drawings
Percents and Percent Equations The percent proportion The percent equation Fluency - percents (Immediate Recall) Percent of Change Percent of error Simple Interest
Expressions and Equations Powers and exponents Order of operations with sign rational numbers and powers Square roots of perfect squares Fluency (Perfect Squares 1-225) Estimating Square roots Determining two consecutive integers an irrational root is between Placing square roots between consecutive integers
Geometry Definition of circle Determine parts of circle Derivation of Pi Using equations to find the area and circumference of circles Using equations to find radius and circumference, given circumference or area Using equations to find circumference, given area Using equations to find area, given circumference
Statistics Determining measures of central tendency-mean, median, mode How do outliers affect the centers Range
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Quarter 3 |
Rate, Ratio and Proportion Converting Rates -Dimensional Analysis Identifying proportional relationships in list,chart or situation Determining constant of proportionality Coordinate plane characteristics Identifying proportional relationships graphically Reading and interpreting proportional lines Solving Proportions Equivalent Cross Products Use the constant of proportionality (constant of variation) to write proportional linear equations Direct Variation Slope Scale Drawing and models Similar Figures Similar Figures and Proportions Using Similar Figures for indirect measurement
Percents Percent of a value Percent markers to know from sight Percent and estimation Percents greater than 100% and less than 1% The percent equation Connection to percent proportion Percent of change Sales, tax, tips and markups Discount Simple Interest Compound Interest
Expressions and Equations Evaluating powers Evaluating roots of perfect squares Fluency - Perfect squares 1-225 Estimating Square Roots Determining the two consecutive integers an irrational root is between Placing square roots on number line between integers within one tenth of accuracy Evaluating expressions with powers and square roots
Geometry Definition of a circle Define parts of a circle Derivation of Pi Approximations of Pi Using equations to find the area and circumference of circles Using equations to find the radius and circumference, given circumference and area Using equations to find circumference, given area Using equations to find area, given circumference
Statistics Determine measures of central tendency Determine the best center Determine the range Describe how outliers affect centers Determine the range of univariate data
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Rates, Ratios and Proportions How can we find rates when they form complex fractions? What is a fraction? What operation does it signify? How can we find unit rates - when we need to convert units? How do forms of one allow us to use our identy property to convert units? How can you identify and represent proportional relationships? How can we demonstrate a comparison mathematically? How can we determine a unit price from a ratio? How can we determine a unit rate from a list or chart? How can we determine a unit rate from a situation? How do unit prices help us in the real world? How do we determine which unit price is better? How would you describe the coordinate plane? What are the features of the coordinate plane? How do you think the coordinate plane was developed? How does graphing relationships coordinates help us determine if a line is proportional or not? How does the constant of proportionality affect the graph? How are proportional relationships graphed? What are the two things to look for when you are determining if a line is proportional or not? Can we use the constant of proportionality to find other points on a proportional line? Can we build an equation that holds true for allo? How does that equation help in real life situations? If given one variable and you know the constant of proportionality, how can you determine the other variable? Can we compare graphed proportional relationships with charted? What should we look for? Is there a connection between the constant of variatiion and the constant of proportionality? Can we write the equation for direct variation if given a proportional pair of points? How do scale factors and drawings help in real life? How can we use similarity and proportions for indirect measure
Percents How can you write and represent percents in multiple ways? How can we represent percentages less than zero and greater than 100? How can understanding percentages help understanding money and business? How does estimation help us realize reasonability of answers? How does knowing how to mentally compute 10 percent of a number help us in real life? Can we use another method other than a proportion to determine missing parts, wholes or percent What are the key words in a percent equation that help you determine the part and whole? When there is an increase or decrease in numbers, how can we determine the percent of change? Why do we find the "absolute" difference? What does that mean? What is tax, tip, gratuity and mark ups? Where are these used in your life? What is a disount? Does it get added to or taken from the original price? When you invest money, how does it help you earn money? How do you know how much money you will earn? What is the difference between simple interest calculated over a period of months compared to years? How does simple interest compare to compound interest?
Geometry Can you define a circle? Can we use parts of the circle to determine the length of the outside of the circle? How could we determine the area of the inside of the circle? Why do we measure circles in square units? Can we use our knowledge of equations to find either the radius or diameter given either the area or circumference?
Statistics How can we examine data? Can we use centers to compare lists of univariate data? How can we determine the central tendencies of univariate data? How can we determine which is the best center to use for a list of data? Can we compare centers of a list of data? How does an outlier affect the centers? Can we describe the range of data?
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Rate, Ratio and Proportions Find unit rates with complex fractions Comparing unit rates from complex fractions Finding equivalent ratios using cross products Solving proportions Converting unit rates - with dimensional analysis Identifying proportional and non-proportional relationships from situations, lists and charts Define the difference between the independent and dependent variables of proportional and non proportional lines Graphing proportional Relationship Determine quadrants, axes, positions of coordinate pairs Determine if a graph, table or situation is proportional Determine the unit rate from a graph Determine the constant of proportionality from a graph Solving proportional relationships Define a constant rate of change and how it affects graphs Determine the slope of a line Read and writing equations of direct variation Recognize similar figures Determine sides of similar figures using proportions
Percents Writing percents as fractions, decimals (including fractional percents and greater than 100) Estimate the percent of a number Using the percent proportional to find either the percent, part or whole value of a number Writing and using the percent equation to find either the part, whole or percent of a number Determine reasonableness of an answer Determine the percent of change Determine the percent of error Using percents to solve problems with sales tax, tips, mark-ups and discounts Solving simple interest problems
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Rates, Rate and Proportion Constant of Proportionality Constant Rate of Change Constant of Variation Coordinate Plane Cartesian Plane Cross Products Dimensional Analysis Direct Variation Equivalent Ratios Non-proportional Proportional Ordered Pairs Origin Quadrants Rate Rate of Change Slope Unit Rate X-axis Y-axis abscissa ordinate X-coordinate Y-coordinate discount gratuity markdown markup percent equation percent of error percent of change percent of decrease percent of increase percent proportion principal sales tax selling price simple interest tip rational number irrational numbers perfect squares between powers base exponents circle radius diameter circumference Pi
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Writing Assessment Unit Assessment Benchmark Assessment IXL-technology informal assessment |
Glencoe Course 2 Text State Modules IXL Big Ideas Accelerated -Ron Larson Big Ideas Grade 7-Ron Larson Holt McDougal-Grade 7 |
