10 Popular Types Free Printable Graph Paper

10 Popular Types Free Printable Graph Paper SAT / ACT Prep Online Guides and Tips Do you need to print out some graph paper for an assignment, a project, or just for fun? Are you curious about the different types and what they're used for? Then you've come to the right place to browse and print out whatever graph paper you need! What Is Graph Paper? In the most basic sense, graph paper is paper that comes pre-printed with faint lines that make up a grid. There are all different ways to accomplish this, but the most common is a grid made of squares composed of parallel horizontal and vertical lines. You’re probably already familiar with ruled paper- paper that comes pre-printed with horizontal lines that you can use to write on neatly. Graph paper provides assistance in a similar way, but with a grid that anchors your work to two dimensions rather than just one. You’ll most likely need graph paper for math and math-based work. For example, as a beginning student, you can use it for visual representations of numbers when learning multiplication or addition. Later in school, you’ll find it’s much easier to use grid paper to graph geometric figures on a XY-plane than blank or ruled paper. Finally, of course, any schematic, drawing, or design that needs to be to-scale and precise is easier to do on grid paper. However, you can also use graph paper for fun. It's perfect for creating complex designs for interior design, quilting, beading, embroidery, and knitting. It's also an excellent tool for games that feature maps or strategic divisions of space: for instance, most role-playing games use graph paper to show where characters are in relation to terrain, each other, and enemies. This complex textile design uses graph paper to figure out how to create a repeating pattern. Download Free Graph Paper Depending on your project, you’ll need a different kind of grid on your graph paper. I've created 10 printable graph paper PDFs (with alternate JPG versions) to meet your needs. Quad-Ruled Graph Paper Here are several versions of the most standard kind of graph paper- the kind that is made up of squares. Use this paper for math projects like graphing lines or functions, for science projects like creating charts of experiment results, or for developing creative symmetrical or repeating designs. â…› inch squares: JPG Version | PDF Version  ¼ inch squares (most common size): JPG version | PDF version  ½ inch squares: JPG version | PDF version Quad-Ruled Graph Paper with XY-Coordinates If you’re doing a lot of coordinate geometry, save yourself some time with graph paper that already has an XY-axis on it! Full-page coordinate grid: JPG version | PDF version Half-page coordinate grids: JPG version | PDF version Multi-Line Graph Paper This graph paper features a standard  ¼ inch quad grid overlaid with slightly heavier lines in intervals of 4 or 5 squares. Use it to learn skip-counting when first discovering numbers, or use it to easily create bar graphs and other kinds of visual data representation  ¼ inch minor lines, with major lines every 4 squares: JPG version | PDF version  ¼ inch minor lines, with major lines every 5 squares: JPG version | PDF version Dot Paper Dot paper is graph paper that only marks the corners of the grid squares and leaves out their sides. Use it for charts and designs, particularly if you’d like a less visually cluttered result. Because the paper only has dots, any lines you draw won't have to compete with the pre-printed lines that standard quad paper has.  ¼ inch spaced dots: JPG version | PDF version  ½ inch spaced dots: JPG version | PDF version Isometric (Triangle Grid) Paper In this kind of graph paper, instead of squares, the grid is made up out of equilateral triangles. Use it to create 3-dimensional drawings for designs like woodworking plans, interior space planning, or graphing on an XYZ-axis. Draw your vertical lines normally, and then draw any horizontal lines using the sides of the triangles. Because the grid creates angled cubes, your drawings are instantly in 3D.  ¼ inch isometric graph paper: JPG version | PDF version Here's a cool example of what you can do with isometric paper.(Image: tygerbaer2013 via Deviant Art) Expert Tips for Using Graph Paper in Math If you're using graph paper to learn math, let me share a few ideas for how to get the most productive use out of this tool. For Beginner Students For younger students, you can use graph paper to help with concepts like: The number line. Drawing a number line on graph paper automatically correctly spaces each segment. You can use the cross-lines to represent units, fives, tens, or hundreds. Addition and subtraction. Use different color pencils to add or remove squares from a whole. Alternatively, you can use a number line to show that addition and subtraction are ways or moving up or down on it. Multiplication and division. Use rectangular shapes to demonstrate how 3x8 yields the same result as 4x6 by graphing 3 rows of 8, then graphing 4 rows of six, and then counting the resulting squares. Fractions. Divide a rectangle into a variety of equal parts with colored pencils to show how many equal parts can make up a whole. Mapping an environment. Connect our 3D world to 2D space by making a map of the room you’re in, or of your street. For More Advanced Learning As you continue in school, graph paper should become one of the many tools in your problem-solving arsenal. Automatically use graph paper. Remember that you may find it easier to solve problems with graph paper even if they don’t explicitly say to use it. For example, many geometry problems are easier to figure out when you see them represented visually. Graph paper makes the best scratch paper. Use grid paper as your math scratch paper- it will force you to be neater and more precise when organizing proofs, reducing formulas, and so on. What's Next? Learning coordinate geometry and struggling with some of the concepts? Use our guides to the four graph quadrants and completing the square to help fill in some of the gaps. What graph-related math do you need to know for the SAT/ACT? Find out with our articles about coordinate geometry in the SAT and ACT.

Jomon Culture Hunter Gatherers of Japan

Jomon Culture Hunter Gatherers of Japan Jomon is the name of the early Holocene period hunter-gatherers of Japan, beginning about 14,000 B.C.E. and ending about 1000 B.C.E. in southwestern Japan and 500 C.E. in northeastern Japan. The Jomon made stone and bone tools, and pottery beginning at a few sites as early as 15,500 years ago. The word Jomon means cord pattern, and it refers to the cord-marked impressions seen on Jomon pottery. Jomon Chronology Incipient Jomon (14,000–8000 B.C.E.) (Fukui Cave, Odai Yamamoto I)Initial Jomon (8000–4800 B.C.E.) (Natsushima)Early Jomon (ca 4800–3000 B.C.E.) (Hamanasuno, Tochibara Rockshelter, Sannai Maruyama, Torihama Shell Mound)Middle Jomon (ca 3000–2000 B.C.E.) (Sannai Maruyama, Usujiri)Late Jomon (ca. 2000–1000 B.C.E.) (Hamanaka 2)Final (1000–100 B.C.E.) (Kamegaoka)Epi-Jomon (100 B.C.E.–500 C.E.) (Sapporo Eki Kita-Guchi) The Early and Middle Jomon lived in hamlets or villages of semi-subterranean pit houses, excavated up to about one meter into the earth. By the late Jomon period and perhaps as a response to climate change and a lowering of sea levels, the Jomon moved into fewer villages sited mainly on the coastlines and there relied increasingly on river and ocean fishing, and shellfish. The Jomon diet was based on a mixed economy of hunting, gathering, and fishing, with some evidence for gardens with millet, and possibly gourd, buckwheat, and azuki bean. Jomon Pottery The earliest pottery forms of the Jomon were low-fired, round and pointed-based forms, created during the Initial period. Flat-based pottery characterized the Early Jomon period. Cylindrical pots are characteristic of northeastern Japan, and similar styles are known from mainland China, which may or may not suggest direct contact. By the Middle Jomon period, a variety of jars, bowls, and other vessels were in use. The Jomon have been the focus of much debate concerning the invention of pottery. Scholars today debate whether pottery was a local invention or diffused from the mainland; by 12,000 B.C.E. low-fired pottery was in use throughout East Asia. Fukui Cave has radiocarbon dates ca. 15,800–14,200 calibrated years BP on associated charcoal, but Xianrendong Cave in mainland China so far holds the oldest pottery vessels discovered on the planet, by perhaps a thousand years or so. Other sites such as Odai Yamomoto in Aomori prefecture have been found to date the same period as Fukui Cave, or somewhat older. Jomon Burials and Earthworks Jomon earthworks are noted by end of the Late Jomon period, consisting of stone circles around cemetery plots, such as at Ohyo. Circular spaces with earthen walls up to several meters high and up to 10 meters (30.5 feet) thick at the base were built at several sites such as Chitose. These burials were often layered with red ochre and were accompanied by polished stone staffs which may represent rank. By the Late Jomon period, evidence for ritual activities is noted at sites by elaborate grave goods such as masks with goggle eyes and anthropomorphic figurines accompanying burials placed in ceramic pots. By the Final period, farming of barley, wheat, millet, and hemp developed, and the Jomon lifestyle diminished all over the region by 500 C.E. Scholars debate whether the Jomon were related to the modern Ainu hunter-gatherers of Japan. Genetic studies suggest that they are likely biologically related to the Jomon, but the Jomon culture is not expressed within modern Ainu practices. The known archaeological correlate of the Ainu is called the Satsumon culture, who are believed to have displaced the epi-Jomon about 500 C.E.; Satsumon may be a descendant of the Jomon rather than a replacement. Important Sites Sannai Maruyama, Fukui Cave, Usujiri, Chitose, Ohyu, Kamegaoka, Natsushima, Hamanasuno, Ocharasenai. Sources Craig OE, Saul H, Lucquin A, Nishida Y, Tache K, Clarke L, Thompson AH, Altoft DT, Uchiyama J, Ajimoto M et al. 2013. Earliest evidence for the use of pottery. Nature 496(7445):351-354.Crawford GW. 2011. Advances in Understanding Early Agriculture in Japan. Current Anthropology 52(S4):S331-S345.Crema ER, and Nishino M. 2012. Spatio-temporal distributions of Middle to Late Jomon pithouses in Oyumino, Chiba (Japan). Journal of Open Archaeology Data 1(2).Ikeya N. 2017. Group migration and cultural change following the Akahoya volcanic ashfall: Identifying the pottery production centers at the beginning of the Early Jomon period of Japan. Quaternary International 442(Part B):23-32.Moriya T. 2015. A Study of the Utilization of Wood to Build Pit Dwellings from the Epi-Jomon Culture to the Satsumon Culture in Hokkaido Region, Japan. Journal of the Graduate School of Letters 10:71-85.Nakazawa Y. 2016. The significance of obsidian hydration dating in assessing the integrity of Holocene midden , Hokkaido, northern Japan. Quaternary International 397:474-483.