| Period | Content | Purpose/ Objectives | Activities & Resources | Areas of Interaction | Assessments | |
| Whole numbers, decimals, and fractions : | Place Value Reciting numbers orally Adding, subtracting, multiplying, and dividing whole numbers, decimals, and fractions |
To be able to recite numbers up to the quadrillions proficiently. To be able to carry out the four operations on whole numbers, decimals, and fractions confidently |
Individual worksheets Group work Fraction Games Oral reciting of numbers |
In what areas of my life will I need to know how to perform arithmetic operations? |
Summative: Individual quizzes on whole numbers, fractions, and decimals End of unit test on performing all four operations on whole numbers, fractions, and decimals |
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| Number Systems : | Prime numbers, composite numbers, multiples, factors, least common multiples, greatest common factors |
To be able to recognize, define, and apply the terms listed in the content category |
Students are taught a multiple game entitled "Concentration", enabling them to hone their skills in reciting multiples of different numbers quickly and accurately. |
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Summative: End of unit written exam which asks the students to define the studied terms and to answer mathematical questions based on those terms |
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| Statistics/Order of Operations : | Calculating and graphing statistics Calculating operations in the proper order |
To be able to calculate the mean, median, mode, and range on a set of numbers To be able to read and construct bar, circle, and line graphs To be able to calculate problems with more than operation in the proper order. |
Students will create individual graphs Students will examine and discuss graphs that they clip from newspapers and magazines Students will practice solving problems with multiple operations |
How are statistics used in the weather? |
Formative: Deciding which kind of graph is appropriate to use when given a specific set of date. (ie bar, circle, or line graph) Creating the different graphs accurately Summative: End of unit test on mean, median, mode, range, graphs, and order of operations |
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| Metric/Customary System : | Metric/Customary systems of measurement Measurement of time |
To understand both customary and metric measurements of length, mass, and capacity To be able to solve problems involving time |
Creation of flashcards to facilitate memorization of measurement conversions Bringing in various food items from home to discuss the labeling (g, oz, ml, etc) |
How can the world benefit from only having one common system of measurement? |
Formative: Homework assignments Oral quizzes Summative: End of unit test on metric and customary system |
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| Metric/Customary System : | Metric/Customary systems of measurement |
To understand both customary and metric measurements of length, mass, and capacity To learn how to convert amounts between and within systems. |
Measuring the square footage of various rooms in the school |
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Summative: End of unit test on methric and customary system |
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| Geometry : | Aspects of Geometry and Coordinate Geometry |
To use a protractor readily To investigate qualities of triangles and quadrilaterals To identify lines, line segments, rays, and angles To classify angles as acute, right, obtuse, straight, or reflex |
Using geoboards to construct various polygons Creating original art work that encompasses various geometric shapes Creating and measuring angles using a protractor |
How is geometry used in art and architecture? |
Formative: Being able to create and measure various angles using a protractor Summative: Quizzes given on individual topics throughout unit End of unit test that covers all of the topics in the Purpose/Objective section |
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| Geometry : | Aspects of Geometry and Coordinate Geometry |
To investigate qualities of a circle, including area and circumference To be able to plot points on a coordinate plane To find area and perimeter of polygons |
Using a string to determine the relationship between the diameter and circumference of a circle |
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Summative: End of unit test that covers all of the topics in the Purpose/Objective section |
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| Percents : | Percents |
To be able to convert between fractions, decimals, and percents To be able to compute the percent of a number To be able to compute the a sale price given the original price and discount rate To be able to compute the total cost of an item given the original cost and the tax rate To be able to compute the annual interest given the principal and interest rate To be able to solve percent word problems To be able to estimate the percent of a number To be able to compute percent increase and percent decrease |
Solving percent word problems in pairs Playing games involving mental math to calculate simple percents Having students create original percent problems |
How can a knowledge of percents assist me in my life? |
Formative: Students will have a budget and will be instructed to buy 5 items (on a pre-made poster of items/prices) without going over the budget. They will have five discount cards that they must use. Summative: Quiz on converting between fractions, decimals, and percents End of unit test on calculating percents, sale prices, and percent increase and percent decrease |
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| Algebra, Probability, and Integers : | Algebra Probability Adding, subtracting, multiplying, and dividing with negative numbers |
To understand the meaning of a variable To be able to express mathematical phrases algebraically To be able to solve simple equations To learn the basic rules of probability To explore a model for positive and negative numbers To compute the sum, difference, product, and quotient of equations involving negative numbers |
Handouts to be completed in groups Using dice, cards, and coins for hands-on activities dealing with probability Making flashcards to assist in the learning of integers |
How can the knowledge of probability and odds help me to understand the dangers of gambling? |
Summative: Individual quizzes on probability, integers, and algebra |
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| Final Exam Review : | Review for final exam |
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