Does the decimal make it hard to know whether a number is larger than another? Learn how to tell with this video.

This video by Duane Habecker is part of the video collection at NextVista.org (http://nextvista.org), a proud partner of Curriki.

- Mathematics > General
- Mathematics > Number Sense & Operations

- Grade 3
- Grade 4
- Grade 5
- Grade 6
- Grade 7
- Grade 8
- Grade 9
- Grade 10

Connect model, number word, and number using a variety of representations.

Build understanding of place value (hundredths through ten thousands).

Compare and order rational numbers.

Make estimates of rational numbers in appropriate situations.

Two-digit by two-digit multiplication (larger numbers with calculator).

Up to three-digit by two-digit division (larger numbers with calculator).

Strategies for multiplying and dividing numbers.

Estimation of products and quotients in appropriate situations.

Relationships between operations.

Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.

Develop and analyze strategies for adding and subtracting numbers.

Estimate sums and differences.

Judge the reasonableness of solutions.

Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

Develop strategies to determine the area of rectangles and the perimeter of plane figures.

Solve problems involving perimeter of plane figures and areas of rectangles.

Use the coordinate system to describe the location and relative position of points and draw figures in the first quadrant.

Describe the relative position of lines using concepts of parallelism and perpendicularity.

Reflections.

Translations.

Rotations.

Collect, organize, analyze, and display data (including line graphs and bar graphs) to solve problems.

Describe the distribution of data using median, range and mode.

Solve problems by comparing two sets of related data.

Design experiments and list all possible outcomes and probabilities for an event.

Quantities change proportionally.

Change in one quantity relates to change in a second quantity.

Translate among symbolic, numeric, verbal, and pictorial representations of number relationships.

Models, words, and numbers.

Order of operations and the identity, commutative, associative, and distributive properties.

Demonstrate multiple ways to represent numbers using models, words and symbolic representations.

Identify the place and the value of a given digit in order to determine the magnitude of the number.

Compare and order (including the use of symbolic notation).

Use models, benchmarks (0,1/2,1, 1.5, 2 and so on), and reasoning to compare and order fractions and decimals.

halves, fourths, eighths, and mixed numbers;

thirds, sixths, twelfths, and mixed numbers;

fifths, tenths, hundredths, and mixed numbers.

Understand and use mixed numbers and their equivalent fraction forms.

Make connections between fractions and decimals.

tables 0-12;

up to two-digit by one-digit multiplication;

strategies for two-digit by two-digit multiplication (larger numbers with calculator);

up to three-digit by one-digit division with and without remainders (larger numbers with calculator);

estimation of products and quotients and justification of the reasonableness of solutions in meaningful contexts.

Develop and analyze strategies for adding and subtracting numbers.

Estimate sums and differences and justify the reasonableness of the solutions in meaningful contexts.

the type of unit used to measure depends on the attribute being measured,

larger units can be subdivided into equivalent units (partitioning),

two objects can be compared in terms of a measurable quality using a third object (transitivity),

the same unit can be repeated to determine the measure (iteration), and

the relationship between the size of the unit and the number of units needed (compensatory principle).

Develop and use personal benchmarks (referents) for metric measurements to estimate length, mass, capacity, and temperature.

Select attributes and appropriate standard units and tools (metric) to estimate and measure length, mass, capacity, and temperature.

Make simple unit conversions within the same measurement system (metric and customary).

Identify and describe symmetry in two-dimensional shapes; create symmetrical shapes with line and/or rotational symmetry.

Identify, predict, and describe the results of transformations of two-dimensional shapes using reflections, translations, and rotations.

Cover regions using a variety of objects.

Create physical and pictorial models of area with and without grids.

Estimate and measure area of rectangles.

Estimate and measure perimeter of two-dimensional shapes.

Explore relationships between area and perimeter.

Pose questions and design investigations that involve comparing two sets of related data each represented on the same type of graph using the same scale.

Collect, organize, analyze and display data using various representations including line graphs.

Analyze data presented in graphs, including circle graphs.

Compare two distributions of data, including their shapes, measures of center (mode, median) and variability (minimum and maximum values, unusual data points, and range).

Determine probability of an event from a context that includes a visual representation.

List all possible outcomes (sample space) of a situation or an event.

Use rules to describe these patterns as functional relationships (arithmetic sequences only).

Create, extend, and find missing terms.

Solve problems, including using variables to represent unknown quantities.

Demonstrate an understanding of equality and simple inequality.

Find the value of variables.

Develop an understanding of and apply order of operations in meaningful contexts.

Connect concepts and skills from previous years to current objectives.

Connect concepts and skills from multiple strands to solve problems.

Develop fluency in solving single and multi-step problems that arise in mathematics and in other contexts, building mathematical knowledge through problem solving.

Understand situations and communicate mathematical problem solving.

Make estimates with appropriate ranges.

Reflect, extend and refine thinking.

solve problems;

communicate mathematical ideas;

demonstrate understanding of problems and solutions through oral, pictorial, and written explanations.

Create and use representations to organize, record and communicate mathematical ideas.