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Grade8 Expectations

Grade8-ALGEBRA1

Overall Expectations

·        Evaluate expressions containing zero and integer exponents.

·        Simplify expressions containing zero and integer exponents.

·        Evaluate and multiply by powers of 10.

·        Convert between standard notation and scientific notation.

·        Use multiplication properties of exponents to evaluate and

      simplify expressions

 ·        Use division properties of exponents to evaluate and simplify expressions.

·        Classify polynomials and write polynomials in standard form.

·        Evaluate polynomial expressions.

·        Add and subtract polynomials

·        Multiply polynomials.

·        Find special products of binomials

·        Graph ordered pairs in the coordinate plane.

·        Graph functions from ordered pairs

·     Find x- and y-intercepts and interpret their meanings in real-word situations.

·        Use x- and y-intercepts to graph lines·        Find rates of change and slopes.

·        Relate a constant rate of change to the slope of a line.

·        Find slope by using the slope formula

·        Write a linear equation in slope intercept form.

·        Graph a line using slope-intercept form.

·        Graph a line and write a linear equation using point-slope form.

·        Write a linear equation given two points.

·        Identify and graph parallel and perpendicular lines.

·        Write equations to describe lines parallel or perpendicular to a given line.

·         Write the prime factorization of numbers.

·        Find the GCF of monomials.

·        Factor polynomials by using the greatest common factor.

·        Factor quadratic trinomials of the form  

·        Factor quadratic trinomials of the form  

·         Factor perfect square trinomials

·        Factor the difference of two squares

·        Identify quadratic functions and determine whether they have a minimum or  maximum

·        Graph the quadratic function and give its domain and range.

·   Find the zeros of a quadratic function from its graph.

·        Find the axis of symmetry and the vertex of a parabola.

·        Solve quadratic equations by factoring

·        Solve quadratic equations by using square roots.

Geometry

 Overall Expectations

By the end of this course, students will:   

·        Develop and apply the formula for midpoint.

·        Use the distance formula and the Pythagorean theorem to find the distance between two points

·      Find the measures of interior and exterior angles of triangles.

·        Apply theorems about the interior and exterior angles of triangles.

·   Classify polygons based on their sides and angles.

·        Find and use the measures of interior and exterior angles of polygons.

·         Prove and apply properties of parallelograms

·        Use properties of parallelograms to solve problems.

·        Develop and apply the formulas for the areas of triangles and special quadrilaterals.

·   Develop and apply the formulas for the area and circumference of a circle.

·        Develop and apply the formulas for the area of a regular polygon.

 

 
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