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### Applied Math Sequence

Description

For 6th or 7th grade students who are preparing to take the Algebra in Motion™ sequence. This sequence gives them the arithmetic skills and reasoning needed to excel in Algebra.

Has your student struggled to master their 6th grade or 7th grade curriculum? Often times this is a result of the material being presented in too abstract of a way. At QuantumCamp we are experts in creating richly contextualized content and concepts.

Before moving on to an Algebra curriculum students should have mastered the following concepts and practices:
• fractions
• decimals
• percentages
• interpretation of data graphs
• real-world problem solving
• proportions
• basic ideas of geometry
• exponentials
• scientific notation
• properties of real numbers
This course sequence has been designed in such a way that it can either replace or augment a more simple curriculum at the 6th and 7th grade level. The distinct advantage that this course has is that its topics are inherently interesting to students. And when your student is ready, they will find this course waiting for them.
Sequence

Designing Math
This course combines several types of design and everyday implementations where an adult would need to quickly apply and understand how to use arithmetic.
• Mathematics: scientific notation, fraction addition and subtraction, roots and irrationals, improper fractions, commutative and associative properties, proportions, area of polygons, Pythagorean's Theorem, perimeter, congruent, similar.
• Real World: measuring and cutting fabrics, baking, mixing, blueprints, architecture, city layout, scale structures, geometric layout.

Financing Math
Teaches students about money and how to manage it. In this digital world of finance it becomes even more important to understand how money works.
• Mathematics: conversion into and out of scientific notation, rules of exponents, addition and subtraction of fractions, multiplication and division of fractions, absolute value, distributive property, graphing, direct and inverse proportions, percentages, taxes, problem solving.
• Real World: balance a checkbook, calculate discounts, apply mark-ups, invest money, the stock market, buy a car or home, personal taxes, sales tax, credit cards, simple interest, compound interest.

Global Math
Students will tackle many of our world's most compelling challenges using mathematics. Here they learn the techniques needed to become informed citizens.
• Mathematics: odds, percentages, mean, median, mode, inverse proportions, direct proportions, scatter plots, box-and-whisker plots, absolute value, negative powers, scientific notation, formulas, statistical deviation.
• Real World: Glacial melt studies, population growth and decline, global weather trends and measurement, Carbon Dioxide levels, energy production/consumption, state and national budgets, endangered species statistics, consumption and renewal rates of resources, global employment statistics.
Information

The Applied Mathematics sequence consists of three 30-hour courses that total 90 hours of material covering the arithmetic that a student would find in a 6th and 7th grade curriculum. Academic year sequences are held in 10 week classes each 3 hours long. Summer camps are held in a single week and cover 30 hours of material.

Classes consist of hands-on activities, lecture, and practice problems. Academic year students are required to complete a minimal amount of practice problems.

#### Prerequisites

Students should be at a 5th grade level before taking this course. We have prepared a small Applied Math Readiness Assessment that will help you ascertain whether or not your student is ready to take this course. This test is to be administered by you and the results are only to help you make the best decision for your student.

#### Satisfied CST Standards*

*Please note that this course covers all of the 6th and 7th grade standards minus any algebraic concepts. We teach algebraic concepts in our specially designed Algebra in Motion™ sequence where these ideas are given a more proper conceptual underpinning.

6NS1 - 6th grade number sense
Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions, and percentages.

6NS2 - 6th grade number sense
Students calculate and solve problems involving addition, subtraction, multiplication, and division.

6AF2 - 6th grade algebra and functions
Students analyze and use tables, graphs, and rules to solve problems involving rates and proportions.

6AF3 - 6th grade algebra and functions
Students investigate geometric patterns.

6MG1 - 6th grade measurement and geometry
Students deepen their understanding of the measurement of plane and solid shapes and use this understanding to solve problems.

6MG2 - 6th grade measurement and geometry
Students identify and describe the properties of two-dimensional figures.

6PS1 - 6th grade statistics, data analysis, and probability
Students compute and analyze statistical measurements for data sets.

6PS2 - 6th grade statistics, data analysis, and probability
Students use data samples of a population and describe the characteristics and limitations of the samples.

6PS3 - 6th grade statistics, data analysis, and probability
Students determine theoretical and experimental probabilities and use these to make predictions about events.

7NS1 - 7th grade number sense
Students know the properties of, and compute with, rational numbers expressed in a variety of forms.

7NS2 - 7th grade number sense
Students use exponents, powers, and roots and use exponents in working with fractions.

7MG1 - 7th grade measurement and geometry
Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems.

7MG2 - 7th grade measurement and geometry
Students compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects. They know how perimeter, area, and volume are affected by changes of scale.

7MG3 - 7th grade measurement and geometry
Students know the Pythagorean theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures.

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Ryan Nurmela,
Dec 13, 2012, 3:46 PM