Summer Math Program

Summer Math
Summer study is an optional opportunity that families can choose to pursue. Our teachers are committed to supporting all students as our mathematics instruction provides for differentiation of student needs and readiness levels. However, some families inquire about summer study resources. Below are some resources that can support you.
Free Online Textbook Access for Grades 15
www.pearsonsuccessnet.com
EnVision
 Username: hsesummermath
 Password: highability14
Optional Workbook Purchase for Grades 15
http://www.pearsonschool.com/index.cfm?locator=PSZu69
EnVision
 Enter ISBN, appears at top of list, add to shopping cart, check out as a guest
 9780328697588 – going into Grade 1
 9780328697595 – going into Grade 2
 9780328697601 – going into Grade 3
 9780328697618 – going into Grade 4
 9780328697625 – going into Grade 5
Free Online Textbook Access for Grades 68
https://bim.easyaccessmaterials.com/?reset=1
Big Ideas
 Choose your program, select "Common Core", Click on "Go"
 Choose a Book  Grade 6 = Green, Grade 7 = Red, Grade 8 = Blue
Additional Resources
Below are a list of math topics for potential summer study. These were generated by teachers and are arranged by grade level.
As you scroll you’ll also find topics that are covered on readiness exams for our upper grades.
Kindergarten to First Grade Summer Topics
 Place Value: Read and Write Numbers to 200
 Place Value: Compare 2 and 3 Digit Numbers Based on Meanings of the Hundreds, Tens and One Digits
 Addition and Subtraction: Fluently Add and Subtract within 30, Understand the Relationship Between Addition and Subtraction
 Measurement: Estimate and Measure the Lengths of Objects Using Inches
 Telling Time: Tell and Write Time from Analog and Digital Clocks to the Nearest Hour and HalfHour
 Money: Identify and Count Like and Unlike Coin Combinations for Penny, Nickel, Dime
 Graphs: Draw and Read Simple Picture and Bar Graphs, Answer Questions Using the Information
First to Second Grade Summer Topics
 Place Value: Read and Write Numbers to 1000
 Place Value: Compare 2 and 3 Digit Numbers Based on Meanings of the Hundreds, Tens and Ones
 Addition/Subtraction: Fluently Add and Subtract within 100, Understand the Relationship Between Addition/Subtraction
 Measurement: Estimate and Measure the Lengths of Objects Using Inches, Feet and Centimeters
 Telling Time: Tell and Write Time from Analog and Digital Clocks to the Nearest Five
 Money: Identify and Count Like and Unlike Coin Combinations
 Graphs: Draw and Read Picture and Bar Graphs, Answer Questions Using the Information
Second to Third Grade Summer Topics
 Place Value: Read and Write Numbers to 10,000
 Addition and Subtraction: Fluently Add and Subtract within 1000
 Multiplication and Division: Understand and Use Groups or Sets when Describing Multiplication and Division, Solve Problems within 100
 Multiplication and Division: Knows Fact Tables with Fluency, Can Use Facts to Solve Unknown Problems
 Fractions: Compare Equivalent Fractions in Parts and with Number Lines with Denominators 2, 3, 4, 6, 8
 Geometry: Understands that Shapes May Have Similar Attributes, Shapes Can Be Divided into Parts
 Measurement: Find the Area of Shapes and Relate This to Multiplication
 Telling Time: Tell and Write Time from Analog Clocks to the Nearest Minute
 Money: Count Unlike Coin and Dollar Combinations
 Graphs: Draw and Read Picture and Bar Graphs, Answer Questions Using the Information
Third to Fourth Grade Summer Topics
 Place Value: Read and Write Numbers to 100,000
 Addition and Subtraction: Fluently Add and Subtract all Numbers
 Multiplication and Division: Understand and Use Groups or Sets when Describing Multiplication and Division, Solve Problems within 100
 Multiplication and Division: Knows Fact Tables with Fluency, Multiply 3 Digit by 1 Digit, Divide 1 Digit Numbers into 23 Digit Numbers
 Fractions: Find Equivalent Fractions, Add/Subtract with Same Denominators, Simplify Fractions
 Geometry: Understands Lines, Rays, Line Segments, Angles, Polygons
 Measurement: Find and Compare Perimeter and Area of Rectangles, Convert Customary Measurements (inches to feet, feet to yards, etc.)
 Telling Time: Tell and Write Time, Find Elapsed Time
 Money: Add/Subtract Money and Use in Problem Solving
 Graphs: Draw and Read Picture, Bar, and Line graphs
Fourth to Fifth Grade Summer Topics
 Place Value: Read and Write Numbers to 100,000
 Addition and Subtraction: Fluently Add and Subtract with Decimals
 Multiplication and Division: Solve Problems within 100, Explore Multiplication of Decimals
 Multiplication and Division: Multiply 3 Digits by Multiple Digits, Divide Multiple Digit Numbers into Multiple Digit Numbers
 Fractions: Find Equivalent Fractions, Add/Subtract Fractions, Multiply/Divide Fractions, Simplify Fractions
 Fractions: Understand Relationship to Ratios
 Geometry: Understands Lines, Rays, Line Segments, Angles, Polygons
 Measurement: Convert Customary Measurements (inches to feet, feet to yards, etc.)
Sixth Grade Readiness Exam Topics
FOR INCOMING FIFTH GRADERS TESTING INTO FIFTH GRADE 1 YEAR ADVANCED MATH
The topics listed below will be assessed on the 6th Grade Readiness Exam. All questions are based on 5th grade standards and skills a student needs to be successful in 6th grade math.
Number Sense and Computation:
 Multiply and divide whole numbers
 Order of Operations
 Add, subtract, and multiply decimals
 Add, subtract, multiply, and divide fractions leaving answers in simplest form
 Rounding numbers to the nearest whole number or decimal place value given
 Find the mean, median and mode of a given set of data
Algebra and Functions:
 Substitute a given value in for the variable and evaluate the expression
 Substitute values in to solve geometric formulas
Geometry:
 Identify acute, obtuse, right angles
 The sum of interior angles of triangles
 Identify triangle by its side attributes
 Area of a polygon. Formula is given
 Volume of a prism. Formula is given
 Perpendicular and parallel lines
 Identify two dimensional shapes given the image
Seventh Grade Readiness Exam Topics
FOR INCOMING FIFTH GRADERS TESTING INTO 2 YEAR ADVANCED MATH
FOR INCOMING SIXTH GRADERS TESTING INTO 1 YEAR ADVANCED MATH
The topics listed below will be assessed on the 7th Grade Readiness Exam. All questions are based on 6th grade standards and skills a student needs to be successful in 7th grade math.
Number Sense and Computation:
 Multiply and divide multidigit whole numbers
 Order of operations
 Add, subtract, multiply and divide decimals
 Add, subtract, multiply and divide fractions/mixed numbers
 Absolute value
 Compare/order integers
 Compare/order fractions, decimals and percents
 Ratios, rates, and percentages
 Prime and composite
 Least common multiple and greatest common factor
Algebra and Functions:
 Evaluate and write algebraic expressions
 Identity, inverse, commutative, associative and distributive properties
 Solve onestep equations
 Use formulas (d=rt, 1/2bh, l x w x h, etc.)
 Coordinate plane
 Writing and graphing inequalities
Geometry and Measurements:
 Convert measurement systems
 Area of complex shapes
 Surface area and volume right rectangular prism
 Interior angles of triangles and quadrilaterals
 Draw polygons in coordinate plane
Data Analysis and Statistics:
 Interpret central tendencies – mean, median, mode
 Data displays – (line plot, histogram and box plot)
 Formulate statistical questions, collect/organize data, display and interpret data
Eighth Grade Readiness Exam Topics
FOR INCOMING SIXTH GRADERS TESTING INTO 2 YEAR ADVANCED MATH
FOR
INCOMING SEVENTH GRADERS TESTING INTO 1 YEAR ADVANCED MATH
The topics listed below will be assessed on the 8th Grade Readiness Exam. All questions are based on 7th grade standards and skills a student needs to be successful in 8th grade math. No calculator will be allowed on the assessment. Students must show work needed to arrive at correct answers. Students will be given an ISTEP reference sheet when taking the test.
Number Sense:
 Rational Computations—Perform all four basic operations with decimals, fractions and integers and combinations of those
 Order of operations
 Compare rational numbers with <,> or =
 Write and solve ratio and proportion problems
 Applications of percents
 Exponents
 Algebra and Functions:
 Write and solve basic onestep and twostep equations and inEqualities
 Simplify and evaluate variable expressions
 Find solutions to equations in two variable
 Graph linear equations
 Find slope of linear equations
Geometry:
 Calculate area, surface area, and volume of 2D and 3D figures
Data analysis and probability:
 Find probability of simple events
 Compute the measures of central tendencies
 Interpret different types of data displays (e.g. stemnleaf, histograms, circle graph)
Algebra Readiness Exam Topics
FOR INCOMING SEVENTH GRADERS TESTING INTO 2 YEAR ADVANCED MATH
FOR INCOMING EIGHTH GRADERS TESTING INTO 1 YEAR ADVANCED MATH
The topics listed below will be assessed on the Algebra Readiness Exam. All questions are based on the standards and skills a student needs to be successful in Algebra. The majority of the assessment will be without a calculator. However, if a student brings a calculator they will be able to use it on one section of the test. Students will be provided with an ISTEP Reference Sheet. We recommend utilizing this as the student prepares for this assessment. The reference sheet can be located on the DOE website.
Geometry:
 Write and solve equations using the angle measures of triangles, supplementary angles, and complementary angles
 Find angle measures when a transversals intersects parallel lines
 Use similar figures to solve problems
 Use formulas to find volumes of basic 3D shapes and irregular 3D shapes
 Describe the effects of dilations, translations, rotations, and reflections on twodimensional shapes using coordinates
 Understand how transformations affect the perimeter or area of two shapes depending on the type of transformation
Algebra and Functions:
 Write and simplify algebraic expressions
 Write and solve linear equations and inequalities requiring algebraic manipulation using properties of operations.
 Understand and determine the slope of the line given two points, an equation, a table or a graph
 Write a linear equation in slopeintercept form
 Solve systems of linear equations both graphically and algebraically
 Decide if a function is linear or nonlinear by looking at a graph, a chart, equation, or words.
 Identify the domain and range of a function
 Compare linear and nonlinear functions
 Make comparisons between functions when they are in different forms. i.e. charts, graphs, words, equations
 Write, solve, and show solutions to inequalities as graphs
Radicals & Pythagorean Theorem:
 Simplify perfect square & cube roots
 Calculate and approximate square roots
 Apply the Pythagorean Theorem to find the distance between two points on a coordinate plan
 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world situations
Number Sense:
 Identify and compare rational and irrational numbers
 Order of Operations
 Compare, add, subtract, multiply, and divide rational numbers
 Use Scientific Notation in multiplication and division
 Distributive Property and combining like terms
 Whole and Integer Exponents (multiply, divide, power to a power, zero)
