Hickory Public Schools 8th Grade Math Curriculum Map Course Description: Eighth grade math continues the study of both sixth and seventh grade math concepts with the addition of new material and skill building. Students will continue to learn and understand computing with real numbers, the use of measurement concepts, the use of properties and relationships in geometry, and the use of graphs and data analysis. The introduction of and building of new skills includes the students’ demonstrating an understanding of linear relations and fundamental algebraic concepts. Appropriate technology from manipulatives to calculators and application software should be used regularly for instruction and assessment. EOG Teacher-made exam Hickory Public Schools Eighth Grade Math Power Standards Students taking eighth grade math in Hickory Public Schools will… Algebra: Solve algebraic equations/inequalities as well as recognize and graph linear equations (using slope) in the coordinate plane. Data Analysis: Analyze and graph data in a scatter plot and approximate a line of best fit for the data. Geometry: Effectively apply the Pythagorean Theorem in real world situations and dilate figures in the coordinate plane. Measurement: Calculate the effect of dimensional change (area, surface area, and volume) on two or three dimensional figures and apply the use of indirect measurement in real world problems. Real Numbers: Evaluate and identify real numbers (rational and irrational) by using a variety of strategies and methods. *Algebra makes up 35-40% of the content of the NC 8 th grade EOG. *Data Analysis makes up 20-25% of the content of the NC 8 th grade EOG. *Geometry makes up 10-15% of the content of the NC 8 th grade EOG.
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Hickory Public Schools 8th Grade Math Curriculum Map
Course Description: Eighth grade math continues the study of both sixth and seventh grade math concepts with the addition of new material and skill building. Students will continue to learn and understand computing with real numbers, the use of measurement concepts, the use of properties and relationships in geometry, and the use of graphs and data analysis. The introduction of and building of new skills includes the students’ demonstrating an understanding of linear relations and fundamental algebraic concepts. Appropriate technology from manipulatives to calculators and application software should be used regularly for instruction and assessment.
EOG
Teacher-made exam
Hickory Public Schools Eighth Grade Math Power Standards
Students taking eighth grade math in Hickory Public Schools will… Algebra: Solve algebraic equations/inequalities as well as recognize and graph linear equations (using slope) in the coordinate plane. Data Analysis: Analyze and graph data in a scatter plot and approximate a line of best fit for the data. Geometry: Effectively apply the Pythagorean Theorem in real world situations and dilate figures in the coordinate plane. Measurement: Calculate the effect of dimensional change (area, surface area, and volume) on two or three dimensional figures and apply the use of indirect measurement in real world problems. Real Numbers: Evaluate and identify real numbers (rational and irrational) by using a variety of strategies and methods. *Algebra makes up 35-40% of the content of the NC 8
th grade EOG.
*Data Analysis makes up 20-25% of the content of the NC 8th grade EOG.
*Geometry makes up 10-15% of the content of the NC 8th grade EOG.
Hickory Public Schools 8th Grade Math Curriculum Map
*Measurement makes up 10-15% of the content of the NC 8th grade EOG.
*Real Number makes up 10-15% of the content of the NC 8th grade EOG.
8th Grade Vocabulary and Key Terms with Definitions
Goal 1: Real Numbers
1. Real number – all numbers on the number line; numbers included are rational numbers, irrational numbers, integers, whole numbers, and natural numbers
2. Rational – all positive and negative real numbers that can be written as a whole
number, fraction, or a decimal (terminating or repeating) 3. Irrational – all positive and negative real numbers that CANNOT be written as whole
number, fraction, or a decimal (terminating or repeating); these numbers usually are decimals that are non-terminating or roots of numbers that are not perfect squares (ex.
7 )
4. Exponential form – writing a number using a base and an exponent
5. Exponent – indicates how many times to use the base as a factor
6. Integers – all positive and negative whole numbers
7. Order of Operations – the order in which to solve an expression (Parentheses,
Exponents, Multiply/Divide, Add/Subtract)
8. Pi – the ratio of the circumference of a circle to its diameter; 14.3=Π
9. Absolute Value – the distance a number is from zero; distance has a positive value
(ex. 88,44 =−= and )
Goal 2: Measurement 1. Dilation – transformation of a figure in which it changes size, getting larger or smaller
2. Surface Area – the total area of the exterior surface of a solid
3. Scale Factor – the ratio of the two corresponding coordinates in a dilated figure; the
amount by which a dilated figure has been enlarged or reduced
4. Radius – a line segment connecting the center of another point on the circle
5. Diameter – a line segment that connects one side of the circle to the other side of the circle while passing through the center
6. Circumference – the distance around the circle
7. Similar Figures - same shape but not necessarily the same size
8. Ratio/Proportion – a comparison of two numbers such that when their cross products
are compared, they are equal
Hickory Public Schools 8th Grade Math Curriculum Map
9. Area – the amount of space inside of a two-dimensional figure
10. Perimeter – the distance around a figure
11. Volume – the amount of space inside of a three-dimensional figure
Goal 3: Geometry
1. Hypotenuse – the side of a right triangle across from the right angle 2. Leg – the two sides of a right triangle that create the right angle
3. Pythagorean Theorem – the equation used to solve for a missing side in a right
triangle (a2 + b
2 = c
2)
4. Right Triangle – a triangle with one right angle
Goal 4: Data Analysis
1. Scatter plot – a graph of paired data (x,y) plotted on an x and y axis illustrating a relationship
2. Correlation – the degree at which 2 variables are related (positive, negative, or no)
3. Coordinate Plane – the plane formed by the horizontal axis (x-axis) and the vertical
axis (y-axis)
4. Independent Variable – the variable in an equation that can have its value freely chosen
5. Dependent Variable – the variable in an equation whose value depends on the values
chosen for the other variable(independent) in the equation
6. Origin – the point where the x-axis and the y-axis intersect (0,0)
Goal 5: Algebra
1. Intercept – the point where a line crosses the x – axis (X-intercept) or y-axis (Y-intercept)
2. Inverse Operation – using the opposite operation in an equation in order to get values
to cancel out
3. Linear – description of a graph or an equation that form a line
4. Nonlinear – description of a graph or an equation that does NOT form a line
5. Function – a relation, or group of points, in which none of the x-values repeat; vertical line test - a graph can be a function if a vertical line can be drawn through the picture and the vertical line only touches the graph one time
6. Equation – an expression with an equals sign
Hickory Public Schools 8th Grade Math Curriculum Map
7. Inequality – an expression using >, <, >, or <
8. Linear Equation – equations that can be written as y = mx+b
9. Standard Form – linear equations that can be written as Ax + By = C
10. Solution – any and all values for a variable that make an equation or an inequality true
11. Algebraic Expression – any mathematical sentence that includes numbers and/or variables using operational symbols such as add, subtract, multiply, divide, square roots, exponents, etc.
12. Evaluate – to solve
13. Equivalent – equal
14. X-axis – horizontal axis in the coordinate plane 15. Y-axis – vertical axis in the coordinate plane
16. Coefficient – a number that is being multiplied by a variable
17. Like Terms – terms that have the same variables raised to the same power
18. Ordered Pair – a point written (x,y)
19. Reciprocal – multiplicative inverse of a number; a fraction flipped over so that the
numerator and denominator switch places
20. Square Root/Radical – symbol = x is called a radical; a number that must be
multiplied by itself to equal the given number under the radical
21. Cube Root – symbol = 3
x ; a number that must be multiplied by itself three times in
order to equal the given number under the radical
22. Parallel lines – lines that never intersect
23. Perpendicular lines – lines that intersect to form 4 right angles
24. Slope – Rise / Run; indicates the steepness of a line and whether a line goes uphill or downhill
*Some definitions were taken from www.mathwords.com
Hickory Public Schools 8th Grade Math Curriculum Map
Hickory Public Schools Grades 6-12
Mathematics Shared Agreements
Teachers of Secondary Mathematics in Hickory Public Schools agree that all students will...
1. Connect mathematics to the real world weekly. 2. Utilize 21st century technology to model and/or solve
mathematical concepts weekly.
3. Interpret text and apply proper problem-solving techniques weekly.
4. Use writing to demonstrate understanding of mathematical
concepts at least once per unit.
Hickory Public Schools 8th Grade Math Curriculum Map