Wechsle durch Umrechnung zwischen Bruch- und Dezimaldarstellung.

Converting Fractions to Terminating Decimals

Converting Fractions to Decimals Using Long Division

Rounding Decimals

Using Multi-Step Operations to Target Rational Numbers

Converting Decimals up to the Hundredths Place to Fractions

Decimal Tenths on a Number Line

Estimating Rational Numbers on a Number Line

Comparing Rational Numbers Using a Number Line

Commutative Property of Multiplication Using Models

Reading Number Names to the Thousandths

Ordering Rational Numbers

Rounding Decimals on a Number Line

Decimal Number Names up to the Thousandths Place

Decimal Hundredths on a Number Line

Midpoint of Rational Numbers

Converting Terminating Decimals to Fractions

Identifying Decimals to the Tenths Place on a Number Line

Reading Decimal Number Names 

Rounding Mixed Numbers

Rounding Mixed Numbers to the Nearest Whole Number

Identifying Decimals to the Hundredths Place on a Number Line

Bruchhilde und Dezibert

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Calculators

Using symbols to solve equations and express patterns

Practicing fundamental operations like addition, subtraction and division

Investigating sequences and series, solve differential equations

Relationships mapping inputs to specific outputs in mathematics

Studying shapes, sizes and spatial relationships in mathematics

Quantifying and comparing attributes like length, weight and volume

Understanding numbers, their relationships and numerical reasoning

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Multiple-choice question {1}

Open-ended question {1}

Evaluate absolute value expressions to solve number and word problems, including finding horizontal and vertical distances between points and lines.

Absolute Value Expressions

Determine the absolute value of a number with and without models in number and word problems.

Absolute Value of Integers

Add and subtract fractions and mixed numbers with like denominators (without regrouping) in number and word problems.

Adding and Subtracting Fractions or Mixed Numbers with Like Denominators

Model or compute with integers using addition or subtraction in number and word problems.

Adding and Subtracting Integers

Use a variety of triangles, quadrilaterals, and other polygons to draw conclusions about the sum of the measures of the interior angles.

Angle Sum Properties of Triangles, Quadrilaterals, and Polygons

Identify and label the vertex, rays, and interior and exterior of an angle. Use appropriate naming conventions to identify angles.

Angles

Determine the area of rectangles, squares, and composite figures using nonstandard units, grids, and standard units in number and word problems.

Area of Rectangles, Squares, and Composite Figures

Use grids to develop the relationship between the total numbers of square units in a rectangle and the length and width of the rectangle (l x w); find area using the formula in number and word problems.

Area of Rectangles with Grids

Organize, display, and interpret information in box-and-whisker plots.

Box and Whisker Plots

Organize, display, and interpret information in circle graphs using ratios and percents.

Circle Graphs

Compare and order numbers less than 10,000.

Comparing Numbers Less Than 10,000

Compare and order rational numbers with and without models.

Comparing Rational Numbers

Define and identify complementary and supplementary angles.

Complementary and Supplementary Angles

Locate points in all quadrants of the coordinate plane using ordered pairs in number and word problems.

Coordinate Plane and Ordered Pairs

Locate a point in Quadrant I of a coordinate grid given an ordered pair; name the ordered pair for a point in Quadrant I of a coordinate grid.

Coordinate Plane

Use proportions to express relationships between corresponding parts of similar figures.

Corresponding Parts of Similar Figures

Determine the sample space for an event using counting strategies (include tree diagrams, permutations, combinations, and the fundamental counting principle).

Counting Strategies for Sample Spaces

Divide two fractions or a fraction and a whole number in number or word problems.

Dividing Fractions

Draw and measure angles using a protractor. Understand that a circle measures 360 degrees.

Drawing and Measuring Angles with a Protractor

Use models to write equivalent fractions, including using composition or decomposition or showing relationships among halves, fourths, and eighths, and thirds and sixths.

Equivalent Fractions Models

Apply appropriate types of estimation for number and word problems that include estimating products and quotients.

Estimating Products and Quotients

Apply appropriate type of estimation for sums and differences.

Estimating Sums and Differences

Identify and make figures with line symmetry.

Figures with Symmetry

Identify or generate numerical and geometric patterns; correct errors in patterns or interpret pattern features.

Finding the Rule of a Number Pattern

Use models to find volume for prisms and cylinders as the product of the area of the base (B) and the height. Calculate the volume of prisms in number and word problems.

Finding Volume with Base and Height

Use models to develop formulas for finding areas of triangles, parallelograms, trapezoids, and circles in number and word problems.

Formulas for Area of Triangles, Parallelograms, Trapezoids, and Circles

Find the lateral area and surface area of a right prism, pyramid, right circular cylinder, and cone using formulas.

Formulas for Lateral Surface Area of Solids

Generate a set of ordered pairs using a rule which is stated in verbal, algebraic, or table form; generate a sequence given a rule in verbal or algebraic form.

Generating Ordered Pairs and Sequences

Organize, display, and interpret multiple sets of information in the same graph including multiple bar, multiple stem-and-leaf, and multiple line graphs.

Graphs with Multiple Sets of Information

Organize and compare one set of information in histograms and bar graphs.

Histograms vs. Bar Graphs

Identify, draw, and name: points, rays, line segments, lines, and planes.

Introduction to Geometry

Use models to investigate the concept of the Pythagorean Theorem.

Investigating the Pythagorean Theorem

Use rules of exponents to simplify numeric and algebraic expressions.

Laws of Exponents

Find multiples, common multiples, and the least common multiple of numbers; explain.

Least Common Multiple

Define and identify alternate interior, alternate exterior, corresponding, adjacent and vertical angles.

Lines and Angles

Identify the number of lines of symmetry in a figure and draw lines of symmetry.

Lines of Symmetry

Construct or complete a table of values to solve problems associated with a given relationship.

Modeling with Tables

Model or compute with integers using multiplication or division in number and word problems.

Multiplying and Dividing Integers

Multiply two fractions or a fraction and a whole number in number and word problems.

Multiplying Fractions

Identify the nets for prisms, pyramids, cylinders and cones in geometric and applied problems.

Nets of Solids

Read and write word names for numbers from 1,000 to 9,999.

Numbers from 1,000 to 9,999

Read and write word names for whole numbers from 101 to 999.

Numbers from 101 to 999

Read, write, or model numbers in expanded form using decimal fractions or exponents.

Numbers in Expanded Form

Solve one-step linear equations and inequalities and graph solutions of the inequalities on a number line in number and word problems.

One-step Linear Equations and Inequalities

Identify outliers and clusters in bivariate data in tables and scatter plots.

Outliers and Clusters in Scatter Plots

Solve number and word problems involving percent increase and percent decrease.

Percent Increase and Decrease

Determine perimeter using concrete models, nonstandard units, and standard units in number and word problems.

Perimeter

Investigate and determine the relationship between the diameter and the circumference of a circle and the value of pi; calculate the circumference of a circle.

Pi as a Relationship between Diameter and Circumference

Write the equation of and graph linear relationships given two points on the line.

Point Point Form of a Line

Write the equation of and graph linear relationships given the slope and one point on the line.

Point Slope Form of Line

Points on a Number Line

Prime Factorization

Use manipulatives, pictorial representations, and appropriate vocabulary (e.g., polygon, side, angle, vertex, diameter) to identify and compare properties of plane figures.

Properties of Plane Figures

Write a proportion to model a word problem; solve proportions.

Proportions

Range of Data Sets

Describe the relationship between corresponding terms in two or more numerical patterns or tables of ratios

Ratios and Proportions

Define and distinguish between relations and functions, dependent and independent variables, and domain and range; identify whether relations are functions numerically and graphically.

Relations and Functions

Identify and draw intersecting, parallel, skew, and perpendicular lines and line segments. Identify midpoints of line segments.

Relationships Between Two Lines and Midpoints of Line Segments

Represent fractions concretely and symbolically, including representing whole numbers as fractions.

Representing Fractions

Round decimals to a given place value; round fractions and mixed numbers to a whole number or a given fractional place value.

Rounding Decimals, Fractions, and Mixed Numbers

Given a list of ordered pairs in a table or graph, identify either verbally or algebraically the rule used to generate and record the results.

Rules for Generating Ordered Pairs

Describe, or graph plane figures which are the results of a sequence of transformations.

Sequence of Transformations on the Coordinate Plane

Use set notation to describe domains, ranges, intersection, and union of sets. Identify cardinality of sets, equivalent sets, disjoint sets, complement, or subsets.

Set Theory

Use properties of triangles to solve problems related to similar triangles and the relationships of their corresponding parts.

Similar Triangles and Correspondence

Identify corresponding parts of similar and congruent figures.

Similarity and Congruence

Describe the slope of a line given in the context of a problem situation; compare rates of change in linear relationships represented in different ways.

Slope as Rate of Change

Relate standard and expanded notation to 3- and 4-digit numbers.

Standard and Expanded Notation of 3 and 4-digit Numbers

Organize, display, and interpret information in stem-and-leaf plots.

Stem and Leaf Plots

Write and solve systems of linear equations in two or more variables algebraically in number and word problems.

Systems of Linear Equations in Two or More Variables

Organize, display, and interpret information in tables and graphs (frequency tables, pictographs, and line plots).

Tables and Graphs

Transform (translate, reflect, rotate, dilate) polygons in the coordinate plane; describe the transformation in simple algebraic terms.

Transformations in the Coordinate Plane

Use models or points in the coordinate plane to illustrate, recognize, or describe rigid transformations (translations, reflections, and rotations) of plane figures.

Transforming Plane Figures

Recognize conditions of side lengths that determine a unique triangle, more than one triangle, or no triangle.

Triangle Inequality Theorem

Solve two-step linear equations and inequalities and graph solutions of the inequalities on a number line.

Two-step Linear Equations and Inequalities

Identify and draw angles (acute, right, obtuse, and straight).

Types of Angles

Name polygons by the number of sides. Distinguish quadrilaterals based on properties of their sides or angles; relate quadrilaterals based upon their hierarchical attributes.

Types of Quadrilaterals

Identify and classify triangles according to the measures of the interior angles and the lengths of the sides; relate triangles based upon their hierarchical attributes.

Types of Triangles

Analyze graphs, identify situations, or solve problems with varying rates of change.

Variable Rate of Change

Venn Diagrams

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Geometry illustration featuring a compass.

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Learn Congruence and Similarity  - GeoGebra Math Resources

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Learn Polygons  - GeoGebra Math Resources

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Learn Real Numbers - GeoGebra Math Resources

Learn and practice working with roots with interactive resources from GeoGebra.

Discover over {1} free and ready-to-use GeoGebra resources for grades 4-8 to practice finding square and cube roots and understanding the relationship between a number and its square or cube root. Explore geometric models and equations.

Learn Roots - GeoGebra Math Resources

Learn and practice writing and converting whole numbers in scientific notation with interactive resources from GeoGebra.

Discover over {1} free and ready-to-use GeoGebra resources for grades 4-8 to learn & practice writing & converting whole numbers in scientific notation. Enhance your math skills with interactive lessons.

Learn Scientific Notation of Numbers - GeoGebra Math Resources

Learn and practice generating ordered pairs from verbal, algebraic, and table rules with interactive resources from GeoGebra.

Discover {1} free and ready-to-use GeoGebra resources for grades 4-8 to learn how to create ordered pairs from verbal, algebraic or table rules.

Learn Sequences and Series - GeoGebra Math Resources

Learn and practice identifying solid figures with interactive resources from GeoGebra.

Find over {1} free and ready-to-use GeoGebra resources for grades 4-8 for exploring and practicing identifying the nets for prisms, pyramids, cylinders, and cones. Learn to calculate surface area and volume of spheres and describe cross-sectional views of 3D figures.

Learn Solids - GeoGebra Math Resources

Learn and practice describing data with mean, median, and mode with interactive resources from GeoGebra.

Discover {1} free and ready-to-use GeoGebra resources to learn and practice data description with mean, median, and mode for grades 4-8. Explore and understand outliers and their impact on statistical characteristics.

Learn Statistical Characteristics - GeoGebra Math Resources

Learn and practice identifying statistical questions, measuring variability and making predictions from sample data with interactive resources from GeoGebra.

Explore and practice statistical concepts with {1} free and ready-to-use GeoGebra resources for grades 4-8. Identify statistical questions, measure variability, and make predictions from samples. Enhance your data analysis skills with GeoGebra.

Learn Statistics - GeoGebra Math Resources

Learn and practice subtracting numbers with interactive resources from GeoGebra.

Discover over {1} free and ready-to-use GeoGebra resources for grades 4-8 to practice and explore multi-digit subtraction, including estimating differences.

Learn Subtraction - GeoGebra Math Resources

Learn and practice finding the surface area of different types of solids with interactive resources from GeoGebra.

Discover {1} free and ready-to-use GeoGebra resources for grades 4-8 to practice finding the surface area of solids including prisms, pyramids, and cylinders in real-world math problems

Learn Surface Area - GeoGebra Math Resources

Learn and practice identifying lines of symmetry in shapes with interactive resources from GeoGebra.

Discover over {1} free and ready-to-use GeoGebra resources for grades 4-8 for exploring & practicing symmetry in figures: identify lines & create symmetrical shapes

Learn Symmetry - GeoGebra Math Resources

Learn and practice graphing and solving systems of equations and inequalities with interactive resources from GeoGebra.

Explore over {1} free and ready-to-use GeoGebra resources for grades 4-12 to enhance your understanding of how to solve and graph systems involving a combination of equations and/or inequalities.

Learn Systems of Equations and Inequalities - GeoGebra Math Resources

Entdecke und übe unterschiedliche Zeitmaße mit interaktiven Unterrichtsmaterialien von GeoGebra.

Entdecke über {1} kostenlose und sofort verwendbare GeoGebra-Unterrichtsmaterialien zum Thema Zeitmaße für alle Schulstufen, perfekt zum Entdecken und Üben.

Zeitmaße verstehen & anwenden - Interaktive Mathe-Materialien | GeoGebra

Learn and practice transforming polygons in the coordinate plane with interactive resources from GeoGebra.

Find over {1} free and ready-to-use GeoGebra resources for grades 4-8 to learn & practice transforming polygons in the coordinate plane.

Learn Transformations - GeoGebra Math Resources

Learn and practice identifying and classifying triangles with interactive resources from GeoGebra.

Find over {1} free and ready-to-use GeoGebra resources for grades 4-8 to explore and practice how to identify and classify triangles, learn about angle sum properties, and improve triangle knowledge and skills.

Learn Triangles - GeoGebra Math Resources

Learn and practice converting measures and using appropriate tools with interactive resources from GeoGebra.

Discover {1} free and ready-to-use GeoGebra resources for grades 4-8 to enhance your understanding of converting measures of length, area, capacity, weight, and time to different units. Learn to effectively measure and compare lengths, capacity, and weight through practical exercises in number and word problems.

Learn Units and Measurement - GeoGebra Math Resources

Learn and practice calculating the volume of solids with interactive resources from GeoGebra.

Discover more than {1} free and high-quality GeoGebra resources for grades 4-8 to practice finding and calculating the volume of 3D shapes such as cylinders, prisms, pyramids, cones, and composite figures.