Middle School Math
Grade level: 6
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Looking at Numbers |
Use place value to express and compare whole numbers and decimals; write a decimal as a fraction and a fraction as a decimal; use exponents to represent numbers; order integers and identify opposite integers |
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Using Whole Numbers |
Use properties and mental math to find sums and differences; solve problems by using the guess and check strategy; multiply and divide whole numbers; use estimation to find sums, differences, products, and quotients |
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Using Decimals |
Add and subtract decimals; multiply decimals; divide decimals |
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Number Theory and Fractions |
Identify factors and multiples of a number and tell whether a number is prime or composite; write a composite number as the product of prime numbers; find the least common multiple and greatest common factor to write fractions in simplest form; write fractions as mixed numbers and mixed numbers as fractions |
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Adding and Subtracting Fractions |
Add and subtract like fractions; add and subtract unlike fractions; estimate sums and differences of fractions |
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Adding and Subtracting Mixed Numbers |
Add and subtract mixed numbers; estimate sums and differences of mixed numbers |
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Multiplying and Dividing Fractions |
Simplify factors and multiply fractions and mixed numbers; divide fractions; solve problems by working backward |
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Geometric Figures |
Identify and describe points, lines, and planes; classify lines and angles and measure angles; construct congruent line segments and angles; identify polygons by the number of sides and angles |
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Symmetry and Transformation |
Identify line symmetry and rotational symmetry; identify and use transformations of geometric shapes; use polygons to make tessellations; use a model to solve a problem |
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Solid Figures |
Identify solid figures and their parts; identify nets for solid figures and different points of view; solve problems by using the strategy solving a simpler problem |
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Organizing Data |
Identify information needed to make decisions; identify sample size and types of samples when conducting a survey; determine whether a sample or question in a survey is biased; use and organize data from a survey |
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Displaying Data |
Display data in a bar graph, line graph, and a stem and leaf plot; make histograms and circle graphs; graph two or more sets of data |
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Interpreting Data and Predicting |
Analyze graphs and make predictions from graphs; identify misleading graphs; find the mean, median, and mode |
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Probability |
Use the strategy account for all possibilities in problems; find the probability of events; find the experimental probability of an event |
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Algebra |
To write, interpret, and evaluate numerical and algebraic expressions; use input/output tables to evaluate algebraic expressions; solve addition and subtraction equations |
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Algebra- Real-Life Relationships |
Solve multiplication and division equations; use equations to show money relationships; convert temperature between F and C; calculate distance, rate, or time by solving equations; use the strategy make a table to solve problems |
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Ratio, Proportions, and Percents |
Write a ratio to compare two objects; find rates and unit rates; write ratios and decimals as percents and vice versa; express parts of a whole as percents; write a proportion to solve a problem |
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Percent and Change |
Find the percent of a number; use the percents to make a circle graph; interpret circle graphs that use percents; find the amount of discount and the sale price; find simple interest |
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Ratio, Proportion, and Similar Figures |
Identify similar and congruent figures; use ratios to identify similar figures; use similar figures to find the unknown length of a side; use proportions to measure indirectly |
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Applications of Ratio and Proportion |
Use scale to find dimensions of drawing or actual length; read and use scales on a map; draw a diagram to show directions; use ratios to determine if similar rectangles are Golden |
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Measurement |
Change one customary unit of measurement to another; change one metric unit of measurement to another; measure length by using precise measurements; use a network to find the distance from place to place; find the perimeters of polygons |
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Measuring Area |
Estimate the area of irregular figures; use a formula to solve problems; find the area of triangles and parallelograms; double the dimensions of a polygon and determine the effects on its perimeter and area; find the area of a circle |
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Measuring Solids |
Estimate and find the volume of prisms; determine how the volume of a rectangle prism changes when the dimensions change; find the volume of a cylinder; find the surface area of a rectangle prism |
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Algebra- Number Relationships |
Classify and compare sets of numbers; write fractions as terminating and repeating decimals; find a rational number between two rational numbers; compare and order rational numbers |
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Operations With Integers |
Add and subtract integers; multiply and divide integers |
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Algebra-Equations and Relationships |
Evaluate numerical and algebraic expressions with integers; solve one-step equations and inequalities with integers; locate points and graph relations on a coordinate plane |
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Geometric Patterns |
Transform figures on a coordinate plane; find a pattern to solve problems that involve transformations; identify the next 2-3 dimensional figure in geometric pattern; make shapes for tessellations |
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Patterns and Operations |
Identify, extend, and make number patterns with whole numbers and decimals; identify and make patterns with fractions; identify, extend, and make sequences of integers |