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- applying information
- collecting data
- problem solving
Key Standards Supported
|6.G: Solve Real-World And Mathematical Problems Involving Area, Surface Area, And Volume.|
|6.G.2||Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.|
|7.G: Solve Real-Life And Mathematical Problems Involving Angle Measure, Area, Surface Area, And Volume.|
|7.G.4||Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.|
|8.G: Solve Real-World And Mathematical Problems Involving Volume Of Cylinders, Cones, And Spheres.|
|8.G.9||Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.|
|HSF.IF: Analyze Functions Using Different Representations|
|HSF.IF.7||Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★|
|HSF.IF.7.a||Graph linear and quadratic functions and show intercepts, maxima, and minima.|
|HSF.IF.7.b||Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.|
|HSF.IF.7.c||Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.|
|HSF.IF.7.d||(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.|
|HSF.IF.7.e||Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.|
|HSF.IF.8||Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.|
|HSF.IF.8.a||Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.|
|HSF.IF.8.b||Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay.|
|HSF.IF.9||Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.|
Ratios And Proportional Relationships
|6.RP: Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems.|
|6.RP.1||Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”|
|6.RP.2||Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”1|
|6.RP.3||Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.|
|6.RP.3.a||Make tables of equivalent ratios relating quantities with whole- number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.|
|6.RP.3.b||Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?|
|6.RP.3.c||Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.|
|6.RP.3.d||Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.|
|7.RP: Analyze Proportional Relationships And Use Them To Solve Real-World And Mathematical Problems.|
|7.RP.1||Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.|
|7.RP.2||Recognize and represent proportional relationships between quantities.|
|7.RP.2.a||Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.|
|7.RP.2.b||Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.|
|7.RP.2.c||Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.|
|7.RP.2.d||Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.|
|7.RP.3||Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.|
A robust and well organized teacher dashboard gives access to math content, a lesson planning tool, and student data.
ProsGreat balance of engaging lessons, depth, accessibility, and useful data for both teachers and students.
ConsWithout initial and ongoing assessments, as well as individualized content recommendations, the site isn't as adaptive as it could be.
Bottom LineQuality tools, learning opportunities, and organizable lessons support learning.
Graphite Expert Review
Common Sense Graphite Reviewer
The activities are engaging and fun without being unnecessarily animated or distracting. The design is packed with useful features that stay out of the way unless they're needed.
Mini-lessons offer a scaffolded, comprehensive dive into different math concepts. Students practice skills multiple times and get instant feedback on progress. Initial and ongoing assessments would help increase adaptiveness.
Teachers and students have access to the same, detailed data. Both text and audio help are offered to students in every lesson, supporting a variety of learners. Content is well organized and also available in Spanish.
With math courses for grades 6 through 8, algebra 1 and 2, and geometry, AC Math puts a complete middle and high school math curriculum at teachers' fingertips. Each area of focus is organized into what AC Math calls "Activity Objects" -- these include videos, animations, problems, assessments, as well as printable worksheets. Every Activity Object has clear objectives to help students and teachers track academic growth. For every activity, instructions are provided both orally and in writing. The site also features a glossary of math terms.
The Activity Objects are easily searchable based on Common Core standards, state standards, or by specific textbooks. Teachers can add activities to lesson plans, which are then pushed out to groups of students or even individuals. It's also easy to add outside resources to lessons from anywhere on the web, like a Khan Academy tutorial, for instance. Several predefined lesson plans are included. Students and teachers have access to a dashboard that tracks academic growth and includes access to the entire library to Activity Objects. The student dashboard acts as a playlist for student learning, but students can also explore freely.Read More Read Less
AC Math is great for enhancing your classroom's math curriculum. The content is well structured in a way that moves students from visual models to more abstract representations of concepts. Students receive instant feedback that helps them catch mistakes early, and continue practicing through mastery. The feedback walks students through the problem again with written, verbal, and audio support.
However, difficulty levels don't seem to adjust based on students' answers. The site would be even more powerful if it included pre-assessments and ongoing checks for understanding that then present students with "just right" content. Instead, teachers will need to be deeply involved with the data to help students succeed. While the reports are informative, this data doesn't appear to automatically change the content, and teachers are left to the task of adapting content. This is fine, as teachers know their students best, but the site could offer tools to make it easier.Read More Read Less
AC Math excels as a tool for supporting individual and small group instruction. Teachers can assign specific lesson plans to students in order to fill learning gaps or challenge them, pushing learning forward. The search tools make it easy to set up multiple lesson plans and track student growth.
Teachers can also successfully use the program to illustrate math concepts in a whole-class setting. The Activity Objects can be displayed on an interactive whiteboard or a projector so the whole class can view and discuss -- some of these activities lend themselves well to this type of instruction. The built-in worksheets and assessments could be used for homework, or to track progress over time.Read More Read Less